Edit Profile (opens in new tab) Dehghan Takht Fooladi, Mehdi Co-Author Distance Author ID: dehghan.mehdi Published as: Dehghan, Mehdi; Dehghan, M.; Deghan, Mehdi more...less Homepage: https://aut.ac.ir/cv/2299/MEHDI-DEHGHAN?slc_lang=en&&cv=2299&mod=scv External Links: MGP · ORCID · dblp Documents Indexed: 639 Publications since 1993, including 4 Additional arXiv Preprints Co-Authors: 171 Co-Authors with 584 Joint Publications 2,951 Co-Co-Authors all top 5 Co-Authors 50 single-authored 91 Abbaszadeh, Mostafa 38 Hajarian, Masoud 37 Eslahchi, Mohammad Reza 30 Mohebbi, Akbar 27 Saadatmandi, Abbas 26 Tatari, Mehdi 25 Masjed-Jamei, Mohammad 24 Assari, Pouria 23 Lakestani, Mehrdad 18 Mohammadi, Vahid 18 Razzaghi, Mohsen 17 Mazrooei-Sebdani, Reza 16 Mirzaei, Davoud 16 Shakeri, Fatemeh 15 Adibi, Hojatollah 14 Salehi, Rezvan 14 Yousefi, Sohrab Ali 12 Hosseinzadeh, Hossein 12 Shirilord, Akbar 11 Gharibi, Zeinab 11 Hashemi, Behnam 11 Shokri, Ali 9 Hashemiparast, S. M. 9 Jaberi-Douraki, Majid 9 Khodadadian, Amirreza 8 Fakhar-Izadi, Farhad 8 Shirzadi, Mohammad 8 Taleei, Ameneh 7 Abedian, Rooholah 7 Parand, Kourosh 6 Heitzinger, Clemens 6 Ilati, Mohammad 6 Khosravian-Arab, Hassan 5 Alipanah, Amjad 5 Ebrahimijahan, Ali 5 Foroush Bastani, Ali 5 Ghatee, Mehdi 5 Kamranian, Maryam 5 Sedaghat, Hassan 4 Ahmadi, Majid 4 Asadi-Mehregan, Fatemeh 4 Azis, Mohammad Ivan 4 Dehghani-Madiseh, Marzieh 4 Faez, Karim 4 Ghesmati, Arezou 4 Kent, Candace M. 4 Manafian Heris, Jalil 4 Moghaderi, Hamid 4 Nemati Saray, Behzad 4 Parvizi, Maryam 4 Rashedi, Kamal 4 Sabouri, Mania 4 Safarpoor, Mansour 4 Sedaghatjoo, Zeynab 4 Wick, Thomas 3 Aghigh, Kamal 3 Ang, Whyeteong 3 Bayat, Mostafa 3 Jazlanian, Rooholah 3 Mohammadi-Arani, Reza 3 Molavi-Arabshahi, Seyedeh Mahboubeh 3 Narimani, Niusha 3 Navabi, M. R. 3 Noye, B. J. 3 Pirkhedri, A. 3 Ramezani, Mehdi 3 Shafieeabyaneh, Nasim 3 Shahini, Mehdi 3 Shakourifar, Mohammad 3 Soltanian, Fahimeh 2 Amani, Sanaz 2 Aryanmehr, S. 2 Asgari, Zohreh 2 Babolian, Esmail 2 Barikbin, Zahra 2 Behroozifar, Mahmoud 2 Clements, David L. 2 Donatelli, Marco 2 Hamidi, Asgar 2 Hendy, Ahmed S. 2 Irandoust-Pakchin, Safar 2 Jafari, Hossein 2 Karamali, Gholamreza 2 Kazem, Saeed 2 Kazemi, Seyed-Mohammad-Mahdi 2 Mohammadi-Firouzjaei, Hadi 2 Mohebalizadeh, Hamed 2 Najafi, Mahboubeh 2 Nasri, Mostafa 2 Nikpour, Ahmad 2 Noii, Nima 2 Ordokhani, Yadollah 2 Ortiz, Norma L. 2 Pedram, Hossein 2 Rastegar, Narges 2 Sabaei, Masoud 2 Sedaghat, Salameh 2 Shridhar, Malayappan 2 Zaky, Mahmoud A. 2 Zhou, Yong ...and 73 more Co-Authors all top 5 Serials 80 Applied Mathematics and Computation 51 Computers & Mathematics with Applications 51 Numerical Methods for Partial Differential Equations 45 Engineering Analysis with Boundary Elements 41 Journal of Computational and Applied Mathematics 39 Applied Numerical Mathematics 28 International Journal of Computer Mathematics 22 Applied Mathematical Modelling 20 Mathematical Methods in the Applied Sciences 19 Computer Physics Communications 18 Mathematical and Computer Modelling 15 Journal of Vibration and Control 13 Numerical Algorithms 12 Chaos, Solitons and Fractals 12 Communications in Nonlinear Science and Numerical Simulation 10 Computational and Applied Mathematics 10 Mathematical Problems in Engineering 9 Computer Methods in Applied Mechanics and Engineering 7 Journal of Computational Physics 7 Physica Scripta 6 Kybernetes 6 International Journal for Numerical Methods in Biomedical Engineering 5 Mathematics and Computers in Simulation 5 Computational Mechanics 5 Applied Mathematics Letters 5 International Journal of Numerical Methods for Heat & Fluid Flow 4 Journal of Scientific Computing 4 Journal of Difference Equations and Applications 4 CMES. Computer Modeling in Engineering & Sciences 3 Applicable Analysis 3 Physics Letters. A 3 Communications in Numerical Methods in Engineering 3 Nonlinear Dynamics 3 Inverse Problems in Science and Engineering 2 Computers and Electrical Engineering 2 International Journal of Engineering Science 2 International Journal of Systems Science 2 International Journal for Numerical Methods in Engineering 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Bulletin of the Iranian Mathematical Society 2 Linear Algebra and its Applications 2 Mediterranean Journal of Mathematics 2 Numerical Mathematics: Theory, Methods and Applications 2 Advances in Applied Mathematics and Mechanics 1 International Journal of Modern Physics B 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Computing 1 Numerical Functional Analysis and Optimization 1 Bulletin of the Korean Mathematical Society 1 Operations Research Letters 1 Acta Mathematica Hungarica 1 Journal of Computational Mathematics 1 International Journal of Approximate Reasoning 1 Pattern Recognition 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Pattern Recognition Letters 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Filomat 1 Integral Transforms and Special Functions 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematics and Mechanics of Solids 1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 1 Far East Journal of Applied Mathematics 1 International Journal of Numerical Modelling 1 The ANZIAM Journal 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Numerical Mathematics 1 Journal of Concrete and Applicable Mathematics 1 EURASIP Journal on Advances in Signal Processing 1 Applied and Computational Mathematics 1 Iranian Journal of Mathematical Chemistry 1 Journal of Function Spaces 1 Computational Methods for Differential Equations all top 5 Fields 533 Numerical analysis (65-XX) 278 Partial differential equations (35-XX) 58 Fluid mechanics (76-XX) 56 Integral equations (45-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 38 Approximations and expansions (41-XX) 37 Ordinary differential equations (34-XX) 30 Difference and functional equations (39-XX) 28 Biology and other natural sciences (92-XX) 22 Real functions (26-XX) 20 Mechanics of deformable solids (74-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 Special functions (33-XX) 11 Probability theory and stochastic processes (60-XX) 9 Optics, electromagnetic theory (78-XX) 9 Systems theory; control (93-XX) 8 Computer science (68-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Quantum theory (81-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General algebraic systems (08-XX) 5 Operations research, mathematical programming (90-XX) 4 Geophysics (86-XX) 4 Information and communication theory, circuits (94-XX) 3 Integral transforms, operational calculus (44-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Astronomy and astrophysics (85-XX) 1 Functions of a complex variable (30-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 586 Publications have been cited 16,096 times in 5,978 Documents Cited by ▼ Year ▼ A new operational matrix for solving fractional-order differential equations. Zbl 1189.65151 Saadatmandi, Abbas; Dehghan, Mehdi 385 2010 Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187 Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas 285 2010 Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices. Zbl 1089.65085 Dehghan, Mehdi 269 2006 A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions. Zbl 1155.65379 Dehghan, Mehdi; Shokri, Ali 227 2008 Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions. Zbl 1168.65398 Dehghan, Mehdi; Shokri, Ali 172 2009 Solution of delay differential equations via a homotopy perturbation method. Zbl 1145.34353 Shakeri, Fatemeh; Dehghan, Mehdi 143 2008 On the convergence of He’s variational iteration method. Zbl 1120.65112 Tatari, Mehdi; Dehghan, Mehdi 134 2007 On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. Zbl 1059.65072 Dehghan, Mehdi 127 2005 On generalized moving least squares and diffuse derivatives. Zbl 1252.65037 Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi 124 2012 The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients. Zbl 1250.65121 Saadatmandi, Abbas; Dehghan, Mehdi; Azizi, Mohammad-Reza 120 2012 A tau approach for solution of the space fractional diffusion equation. Zbl 1228.65203 Saadatmandi, Abbas; Dehghan, Mehdi 114 2011 The general coupled matrix equations over generalized bisymmetric matrices. Zbl 1187.65042 Dehghan, Mehdi; Hajarian, Masoud 114 2010 Parameter determination in a partial differential equation from the overspecified data. Zbl 1080.35174 Dehghan, M. 108 2005 The one-dimensional heat equation subject to a boundary integral specification. Zbl 1139.35352 Dehghan, Mehdi 105 2007 Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM). Zbl 1205.65267 Dehghan, Mehdi; Ghesmati, Arezou 105 2010 An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation. Zbl 1154.65023 Dehghan, Mehdi; Hajarian, Masoud 104 2008 The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics. Zbl 1352.65397 Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 104 2013 An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices. Zbl 1185.65054 Dehghan, Mehdi; Hajarian, Masoud 101 2010 A numerical method for solving the hyperbolic telegraph equation. Zbl 1145.65078 Dehghan, Mehdi; Shokri, Ali 100 2008 A numerical technique for solving fractional optimal control problems. Zbl 1228.65109 Lotfi, A.; Dehghan, Mehdi; Yousefi, S. A. 99 2011 A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Zbl 1084.65099 Dehghan, Mehdi 97 2006 A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients. Zbl 1206.65207 Dehghan, Mehdi; Taleei, Ameneh 96 2010 Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. Zbl 1063.65079 Dehghan, Mehdi 94 2005 A meshless based method for solution of integral equations. Zbl 1202.65174 Mirzaei, Davoud; Dehghan, Mehdi 93 2010 Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. Zbl 1321.65129 Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa 91 2015 A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions. Zbl 1126.65092 Dehghan, Mehdi; Shokri, Ali 90 2007 The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions. Zbl 1369.65126 Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 89 2014 An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method. Zbl 1216.65098 Parand, K.; Dehghan, Mehdi; Rezaei, A. R.; Ghaderi, S. M. 89 2010 Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method. Zbl 1244.65137 Dehghan, Mehdi; Ghesmati, Arezou 89 2010 Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations. Zbl 1227.65037 Dehghan, Mehdi; Hajarian, Masoud 87 2011 Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Zbl 1186.65136 Saadatmandi, Abbas; Dehghan, Mehdi 85 2010 The construction of operational matrix of fractional derivatives using B-spline functions. Zbl 1276.65015 Lakestani, Mehrdad; Dehghan, Mehdi; Irandoust-Pakchin, Safar 83 2012 A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term. Zbl 1287.65064 Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 82 2013 Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity. Zbl 1159.76034 Dehghan, Mehdi; Mirzaei, Davoud 80 2009 Application of the collocation method for solving nonlinear fractional integro-differential equations. Zbl 1296.65106 Eslahchi, M. R.; Dehghan, Mehdi; Parvizi, M. 80 2014 Combination of meshless local weak and strong (MLWS) forms to solve the two-dimensional hyperbolic telegraph equation. Zbl 1244.65147 Dehghan, Mehdi; Ghesmati, Arezou 79 2010 The solution of coupled Burgers’ equations using Adomian-Padé technique. Zbl 1122.65388 Dehghan, Mehdi; Hamidi, Asgar; Shakourifar, Mohammad 78 2007 An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations. Zbl 1403.65082 Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 78 2015 Numerical solution of the Klein-Gordon equation via He’s variational iteration method. Zbl 1179.81064 Shakeri, Fatemeh; Dehghan, Mehdi 76 2008 Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type. Zbl 1177.65100 Parand, K.; Shahini, M.; Dehghan, Mehdi 76 2009 The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics. Zbl 1159.78319 Dehghan, Mehdi; Shakeri, Fatemeh 75 2008 High-order compact solution of the one-dimensional heat and advection-diffusion equations. Zbl 1201.65183 Mohebbi, Akbar; Dehghan, Mehdi 75 2010 Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials. Zbl 1266.65115 Sedaghat, S.; Ordokhani, Y.; Dehghan, Mehdi 74 2012 The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation. Zbl 1244.65139 Dehghan, Mehdi; Mirzaei, Davoud 72 2008 Solution of a partial integro-differential equation arising from viscoelasticity. Zbl 1087.65119 Dehghan, Mehdi 72 2006 Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses. Zbl 1196.35025 Dehghan, Mehdi; Heris, Jalil Manafian; Saadatmandi, Abbas 71 2010 Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method. Zbl 1426.65113 Dehghan, Mehdi; Nikpour, Ahmad 71 2013 On the solution of the non-local parabolic partial differential equations via radial basis functions. Zbl 1168.65403 Tatari, Mehdi; Dehghan, Mehdi 70 2009 Inverse problem of diffusion equation by He’s homotopy perturbation method. Zbl 1110.35354 Shakeri, Fatemeh; Dehghan, Mehdi 70 2007 An inverse problem of finding a source parameter in a semilinear parabolic equation. Zbl 0995.65098 Dehghan, Mehdi 69 2001 A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation. Zbl 1426.76569 Shokri, Ali; Dehghan, Mehdi 68 2010 The numerical solution of the non-linear integro-differential equations based on the meshless method. Zbl 1243.65154 Dehghan, Mehdi; Salehi, Rezvan 66 2012 Weighted finite difference techniques for the one-dimensional advection-diffusion equation. Zbl 1034.65069 Dehghan, Mehdi 64 2004 A numerical method for KdV equation using collocation and radial basis functions. Zbl 1185.76832 Dehghan, Mehdi; Shokri, Ali 64 2007 Numerical solution of the three-dimensional advection–diffusion equation. Zbl 1038.65074 Dehghan, Mehdi 64 2004 The use of He’s variational iteration method for solving the telegraph and fractional telegraph equations. Zbl 1210.65173 Dehghan, Mehdi; Yousefi, S. A.; Lotfi, A. 63 2011 High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087 Dehghan, Mehdi; Mohebbi, Akbar 62 2009 Solution of a partial differential equation subject to temperature overspecification by He’s homotopy perturbation method. Zbl 1117.35326 Dehghan, Mehdi; Shakeri, Fatemeh 62 2007 The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate. Zbl 1315.65086 Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 62 2015 A moving least square reproducing polynomial meshless method. Zbl 1284.65137 Salehi, Rezvan; Dehghan, Mehdi 62 2013 A Legendre collocation method for fractional integro-differential equations. Zbl 1271.65157 Saadatmandi, Abbas; Dehghan, Mehdi 61 2011 A method for solving partial differential equations via radial basis functions: application to the heat equation. Zbl 1244.80024 Tatari, Mehdi; Dehghan, Mehdi 61 2010 Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Zbl 1069.65104 Dehghan, Mehdi 60 2005 Variational iteration method for solving a generalized pantograph equation. Zbl 1189.65172 Saadatmandi, Abbas; Dehghan, Mehdi 60 2009 Application of He’s homotopy perturbation method for non-linear system of second-order boundary value problems. Zbl 1162.34307 Saadatmandi, Abbas; Dehghan, Mehdi; Eftekhari, Ali 59 2009 Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions. Zbl 1137.65408 Dehghan, Mehdi; Tatari, Mehdi 59 2006 An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Zbl 1412.65131 Abbaszadeh, Mostafa; Dehghan, Mehdi 59 2017 The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation. Zbl 1169.76401 Dehghan, Mehdi; Mirzaei, Davoud 58 2008 The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods. Zbl 1344.82041 Dehghan, Mehdi; Nikpour, Ahmad 58 2013 Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2=C\). Zbl 1171.15310 Dehghan, Mehdi; Hajarian, Masoud 58 2009 Direct meshless local Petrov-Galerkin method for elliptic interface problems with applications in electrostatic and elastostatic. Zbl 1423.82009 Taleei, Ameneh; Dehghan, Mehdi 58 2014 Numerical solution to the unsteady two-dimensional Schrödinger equation using meshless local boundary integral equation method. Zbl 1195.81007 Dehghan, Mehdi; Mirzaei, Davoud 57 2008 High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods. Zbl 1190.65126 Mohebbi, Akbar; Dehghan, Mehdi 57 2010 An iterative algorithm for solving a pair of matrix equations \(AYB=E\), \(CYD=F\) over generalized centro-symmetric matrices. Zbl 1165.15301 Dehghan, Mehdi; Hajarian, Masoud 56 2008 A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions. Zbl 1135.65380 Dehghan, M.; Shokri, Ali 56 2008 Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation. Zbl 1183.65113 Mirzaei, Davoud; Dehghan, Mehdi 56 2010 The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas. Zbl 1263.76047 Dehghan, Mehdi; Salehi, Rezvan 55 2011 A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions. Zbl 1159.65084 Dehghan, Mehdi; Shokri, Ali 54 2009 Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule. Zbl 1286.49030 Lotfi, A.; Yousefi, S. A.; Dehghan, Mehdi 54 2013 A meshless method for solving nonlinear two-dimensional integral equations of the second kind on non-rectangular domains using radial basis functions with error analysis. Zbl 1255.65233 Assari, Pouria; Adibi, Hojatollah; Dehghan, Mehdi 54 2013 The solution of linear and nonlinear systems of Volterra functional equations using Adomian-Padé technique. Zbl 1197.65223 Dehghan, Mehdi; Shakourifar, Mohammad; Hamidi, Asgar 53 2009 The use of compact boundary value method for the solution of two-dimensional Schrödinger equation. Zbl 1159.65081 Mohebbi, Akbar; Dehghan, Mehdi 52 2009 High order compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071 Mohebbi, Akbar; Dehghan, Mehdi 51 2008 Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. Zbl 1305.65211 Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 51 2015 The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations. Zbl 1403.74285 Dehghan, Mehdi; Abbaszadeh, Mostafa 51 2017 The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems. Zbl 1271.65105 Yousefi, S. A.; Lotfi, A.; Dehghan, M. 51 2011 A meshless method using radial basis functions for the numerical solution of two-dimensional complex Ginzburg-Landau equation. Zbl 1357.65202 Shokri, Ali; Dehghan, Mehdi 51 2012 A method based on meshless approach for the numerical solution of the two-space dimensional hyperbolic telegraph equation. Zbl 1250.35015 Dehghan, Mehdi; Salehi, Rezvan 51 2012 Fourth-order compact solution of the nonlinear Klein-Gordon equation. Zbl 1180.65114 Dehghan, Mehdi; Mohebbi, Akbar; Asgari, Zohreh 51 2009 The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation. Zbl 1169.65102 Dehghan, Mehdi; Lakestani, Mehrdad 50 2009 Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298 Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 50 2016 Solution of a nonlinear time-delay model in biology via semi-analytical approaches. Zbl 1219.65062 Dehghan, Mehdi; Salehi, Rezvan 50 2010 Computational methods for solving fully fuzzy linear systems. Zbl 1101.65040 Dehghan, Mehdi; Hashemi, Behnam; Ghatee, Mehdi 49 2006 Application of He’s variational iteration method for solving the Cauchy reaction-diffusion problem. Zbl 1135.65381 Dehghan, Mehdi; Shakeri, Fatemeh 49 2008 Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications. Zbl 1352.65202 Khosravian-Arab, Hassan; Dehghan, Mehdi; Eslahchi, M. R. 49 2015 Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients. Zbl 1193.65229 Saadatmandi, Abbas; Dehghan, Mehdi 49 2010 A meshless local Petrov-Galerkin method for the time-dependent Maxwell equations. Zbl 1293.65128 Dehghan, Mehdi; Salehi, Rezvan 49 2014 The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement. Zbl 1200.65076 Lakestani, Mehrdad; Dehghan, Mehdi 48 2010 A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation. Zbl 1243.76069 Dehghan, Mehdi; Salehi, Rezvan 48 2012 Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method. Zbl 1252.65161 Shamsi, M.; Dehghan, Mehdi 47 2012 Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations and applications in electrochemical systems. Zbl 1515.65212 Dehghan, Mehdi; Gharibi, Zeinab; Ruiz-Baier, Ricardo 4 2023 On the fractional Laplacian of some positive definite kernels with applications in numerically solving the surface quasi-geostrophic equation as a prominent fractional calculus model. Zbl 07705781 Mohebalizadeh, Hamed; Adibi, Hojatollah; Dehghan, Mehdi 2 2023 Application of compact local integrated RBF (CLI-RBF) for solving transient forward and backward heat conduction problems with continuous and discontinuous sources. Zbl 1521.65068 Abbaszadeh, Mostafa; Ebrahimijahan, Ali; Dehghan, Mehdi 1 2023 Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media. Zbl 1524.65525 Dehghan, Mehdi; Gharibi, Zeinab 7 2022 Simulation of plane elastostatic equations of anisotropic functionally graded materials by integrated radial basis function based on finite difference approach. Zbl 1521.74408 Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa 5 2022 A new approximation algorithm for solving generalized Lyapunov matrix equations. Zbl 1484.65077 Dehghan, Mehdi; Shirilord, Akbar 4 2022 Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection-reaction-diffusion models. Zbl 1487.65160 Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Wick, Thomas 4 2022 Unconditionally energy stable \(C^0\)-virtual element scheme for solving generalized Swift-Hohenberg equation. Zbl 1492.65263 Dehghan, Mehdi; Gharibi, Zeinab; Eslahchi, Mohammad Reza 4 2022 Double parameter splitting (DPS) iteration method for solving complex symmetric linear systems. Zbl 1482.65054 Shirilord, Akbar; Dehghan, Mehdi 3 2022 A direct RBF-PU method for simulating the infiltration of cytotoxic T-lymphocytes into the tumor microenvironment. Zbl 1497.92060 Narimani, Niusha; Dehghan, Mehdi 3 2022 Combined real and imaginary parts method for solving generalized Lyapunov matrix equation. Zbl 1497.65076 Shirilord, Akbar; Dehghan, Mehdi 3 2022 A high-order weighted essentially nonoscillatory scheme based on exponential polynomials for nonlinear degenerate parabolic equations. Zbl 07778281 Abedian, Rooholah; Dehghan, Mehdi 3 2022 A RBF-WENO finite difference scheme for non-linear degenerate parabolic equations. Zbl 1504.65165 Abedian, Rooholah; Dehghan, Mehdi 2 2022 Closed-form solution of non-symmetric algebraic Riccati matrix equation. Zbl 1489.15025 Shirilord, Akbar; Dehghan, Mehdi 2 2022 Single step iterative method for linear system of equations with complex symmetric positive semi-definite coefficient matrices. Zbl 1511.65055 Shirilord, Akbar; Dehghan, Mehdi 2 2022 An asymptotic analysis and numerical simulation of a prostate tumor growth model via the generalized moving least squares approximation combined with semi-implicit time integration. Zbl 1505.92104 Mohammadi, Vahid; Dehghan, Mehdi; Khodadadian, Amirreza; Noii, Nima; Wick, Thomas 1 2022 Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems. Zbl 1492.65308 Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa 1 2022 Proper orthogonal decomposition-lattice Boltzmann method: simulating the air pollutant problem in street canyon areas. Zbl 1492.76097 MohammadiArani, Reza; Dehghan, Mehdi; Abbaszadeh, Mostafa 1 2022 Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method. Zbl 1510.76097 Abbaszadeh, Mostafa; Bayat, Mostafa; Dehghan, Mehdi 1 2022 A unified analysis of fully mixed virtual element method for wormhole propagation arising in the petroleum engineering. Zbl 1524.65786 Dehghan, Mehdi; Gharibi, Zeinab 1 2022 A local meshless method for solving multi-dimensional Galilei invariant fractional advection-diffusion equation. Zbl 1521.65113 Eslami, Samira; Ilati, Mohammad; Dehghan, Mehdi 1 2022 Simulation of Maxwell equation based on an ADI approach and integrated radial basis function-generalized moving least squares (IRBF-GMLS) method with reduced order algorithm based on proper orthogonal decomposition. Zbl 1521.78016 Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa 1 2022 Approximating optimal parameters for generalized preconditioned Hermitian and skew-Hermitian splitting (GPHSS) method. Zbl 1499.65242 Dehghan, Mehdi; Shirilord, Akbar 1 2022 An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs. Zbl 1499.65707 Azis, Moh. Ivan; Abbaszadeh, Mostafa; Dehghan, Mehdi 1 2022 A class of moving kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation. Zbl 07512665 Abbaszadeh, Mostafa; Dehghan, Mehdi 1 2022 Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem. Zbl 1459.65221 Gharibi, Zeinab; Dehghan, Mehdi 15 2021 Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model. Zbl 1510.82056 Dehghan, Mehdi; Gharibi, Zeinab 12 2021 Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization. Zbl 1457.92042 Mohammadi, Vahid; Dehghan, Mehdi; De Marchi, Stefano 10 2021 A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: nonstationary incompressible Boussinesq equations. Zbl 07510038 Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Noii, Nima; Heitzinger, Clemens; Wick, Thomas 9 2021 A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation. Zbl 1486.65157 Abbaszadeh, Mostafa; Dehghan, Mehdi 8 2021 A divergence-free generalized moving least squares approximation with its application. Zbl 1458.76080 Mohammadi, Vahid; Dehghan, Mehdi 7 2021 Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation. Zbl 1474.65340 Abbaszadeh, Mostafa; Dehghan, Mehdi 7 2021 The Crank-Nicolson/interpolating stabilized element-free Galerkin method to investigate the fractional Galilei invariant advection-diffusion equation. Zbl 1486.65156 Abbaszadeh, Mostafa; Dehghan, Mehdi 7 2021 Local discontinuous Galerkin method for distributed-order time-fractional diffusion-wave equation: application of Laplace transform. Zbl 1473.65210 Mohammadi-Firouzjaei, Hadi; Adibi, Hojatollah; Dehghan, Mehdi 7 2021 Virtual element method for solving an inhomogeneous Brusselator model with and without cross-diffusion in pattern formation. Zbl 1501.65068 Dehghan, Mehdi; Gharibi, Zeinab 6 2021 On the Hermitian and skew-Hermitian splitting-like iteration approach for solving complex continuous-time algebraic Riccati matrix equation. Zbl 1482.65065 Dehghan, Mehdi; Shirilord, Akbar 5 2021 Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation. Zbl 07452496 Abbaszadeh, Mostafa; Dehghan, Mehdi; Zaky, Mahmoud A.; Hendy, Ahmed S. 4 2021 A trustable shape parameter in the kernel-based collocation method with application to pricing financial options. Zbl 1464.91076 Shirzadi, Mohammad; Dehghan, Mehdi; Bastani, Ali Foroush 4 2021 Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system. Zbl 1524.65536 Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa 4 2021 The meshless local Petrov-Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials related to incompressible flow. Zbl 1521.76308 Abbaszadeh, Mostafa; Dehghan, Mehdi; Azis, Mohammad Ivan 4 2021 Generalized regularized least-squares approximation of noisy data with application to stochastic PDEs. Zbl 1452.65375 Shirzadi, Mohammad; Dehghan, Mehdi 3 2021 The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation. Zbl 1524.76275 Abbaszadeh, Mostafa; Bayat, Mostafa; Dehghan, Mehdi 2 2021 Investigation of generalized Couette hydromagnetic flow of two-step exothermic chemical reaction in a channel via the direct meshless local Petrov-Galerkin method. Zbl 1464.76051 Abbaszadeh, Mostafa; Bayat, Mostafa; Dehghan, Mehdi; Azis, Mohammad Ivan 2 2021 Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation. Zbl 1480.65200 Abbaszadeh, Mostafa; Dehghan, Mehdi 2 2021 A local meshless procedure to determine the unknown control parameter in the multi-dimensional inverse problems. Zbl 07479288 Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa 2 2021 Numerical and theoretical discussions for solving nonlinear generalized Benjamin-Bona-Mahony-Burgers equation based on the Legendre spectral element method. Zbl 07777701 Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa 2 2021 Local Gaussian-collocation scheme to approximate the solution of nonlinear fractional differential equations using Volterra integral equations. Zbl 1474.65247 Assari, Pouria; Asadi-Mehregan, Fatemeh; Dehghan, Mehdi 1 2021 RBF-ENO/WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations. Zbl 07777712 Abedian, Rooholah; Dehghan, Mehdi 1 2021 Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. Zbl 1444.76083 Abbaszadeh, Mostafa; Dehghan, Mehdi 25 2020 Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. Zbl 1443.65188 Abbaszadeh, Mostafa; Dehghan, Mehdi 24 2020 Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. Zbl 1435.65170 Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong 23 2020 A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation. Zbl 1452.65145 Abbaszadeh, Mostafa; Dehghan, Mehdi 19 2020 Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. Zbl 1446.65103 Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens 15 2020 Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method. Zbl 1442.65287 Abbaszadeh, Mostafa; Dehghan, Mehdi 15 2020 Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174 Abbaszadeh, Mostafa; Dehghan, Mehdi 14 2020 Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. Zbl 1464.65081 Abbaszadeh, Mostafa; Dehghan, Mehdi 13 2020 Matrix multisplitting Picard-iterative method for solving generalized absolute value matrix equation. Zbl 1451.65048 Dehghan, Mehdi; Shirilord, Akbar 12 2020 Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow. Zbl 1433.65233 Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens 10 2020 Application of spectral element method for solving Sobolev equations with error estimation. Zbl 1452.65271 Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa 10 2020 On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation. Zbl 1463.91203 Shirzadi, Mohammad; Dehghan, Mehdi; Foroush Bastani, Ali 9 2020 Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 1464.74162 Abbaszadeh, Mostafa; Dehghan, Mehdi 8 2020 A meshless technique based on generalized moving least squares combined with the second-order semi-implicit backward differential formula for numerically solving time-dependent phase field models on the spheres. Zbl 1433.82023 Mohammadi, Vahid; Dehghan, Mehdi 8 2020 Accelerated double-step scale splitting iteration method for solving a class of complex symmetric linear systems. Zbl 1445.65007 Dehghan, Mehdi; Shirilord, Akbar 7 2020 Compact local integrated radial basis functions (integrated RBF) method for solving system of non-linear advection-diffusion-reaction equations to prevent the groundwater contamination. Zbl 1464.65139 Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa 5 2020 Analysis of the stabilized element free Galerkin approximations to the Stokes equations. Zbl 1448.76069 Kamranian, Maryam; Tatari, Mehdi; Dehghan, Mehdi 3 2020 The numerical solution of nonlinear weakly singular Fredholm integral equations based on the dual-Chebyshev wavelets. Zbl 1463.65415 Assari, Pouria; Dehghan, Mehdi 3 2020 The stability study of numerical solution of Fredholm integral equations of the first kind with emphasis on its application in boundary elements method. Zbl 1452.65406 Hosseinzadeh, Hossein; Dehghan, Mehdi; Sedaghatjoo, Zeynab 2 2020 A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations. Zbl 1404.65207 Abbaszadeh, Mostafa; Khodadadian, Amirreza; Parvizi, Maryam; Dehghan, Mehdi; Heitzinger, Clemens 33 2019 Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method. Zbl 1412.65070 Dehghan, Mehdi; Abbaszadeh, Mostafa 32 2019 A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation. Zbl 1429.65085 Dehghan, Mehdi; Shirilord, Akbar 31 2019 Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method. Zbl 1440.74428 Mohammadi, Vahid; Dehghan, Mehdi 26 2019 Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives. Zbl 1419.65015 Dehghan, Mehdi; Abbaszadeh, Mostafa 23 2019 A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations. Zbl 1429.65308 Assari, Pouria; Dehghan, Mehdi 21 2019 Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method. Zbl 1428.65073 Abbaszadeh, Mostafa; Dehghan, Mehdi 21 2019 The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 1464.76052 Abbaszadeh, Mostafa; Dehghan, Mehdi 20 2019 Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains. Zbl 1442.65244 Abbaszadeh, Mostafa; Dehghan, Mehdi 19 2019 The double-step scale splitting method for solving complex Sylvester matrix equation. Zbl 1463.65089 Dehghan, Mehdi; Shirilord, Akbar 17 2019 Two-dimensional simulation of the damped Kuramoto-Sivashinsky equation via radial basis function-generated finite difference scheme combined with an exponential time discretization. Zbl 1464.65138 Dehghan, Mehdi; Mohammadi, Vahid 16 2019 The interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis. Zbl 1437.65121 Abbaszadeh, Mostafa; Dehghan, Mehdi 15 2019 Numerical simulation and error estimation of the time-dependent Allen-Cahn equation on surfaces with radial basis functions. Zbl 1426.65149 Mohammadi, Vahid; Mirzaei, Davoud; Dehghan, Mehdi 14 2019 Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. Zbl 1442.65288 Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong 13 2019 DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates. Zbl 1429.65229 Ilati, Mohammad; Dehghan, Mehdi 12 2019 A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique. Zbl 1417.65220 Assari, Pouria; Dehghan, Mehdi 11 2019 A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation. Zbl 1465.76076 Khodadadian, Amirreza; Parvizi, Maryam; Abbaszadeh, Mostafa; Dehghan, Mehdi; Heitzinger, Clemens 10 2019 The solution of nonlinear Green-Naghdi equation arising in water sciences via a meshless method which combines moving Kriging interpolation shape functions with the weighted essentially non-oscillatory method. Zbl 1524.65452 Dehghan, Mehdi; Abbaszadeh, Mostafa 9 2019 Application of thin plate splines for solving a class of boundary integral equations arisen from Laplace’s equations with nonlinear boundary conditions. Zbl 1499.65706 Assari, Pouria; Dehghan, Mehdi 7 2019 On the numerical solution of Fredholm integral equations utilizing the local radial basis function method. Zbl 1499.65739 Assari, Pouria; Asadi-Mehregan, Fatemeh; Dehghan, Mehdi 7 2019 On the numerical solution of logarithmic boundary integral equations arising in Laplace’s equations based on the meshless local discrete collocation method. Zbl 1488.65737 Assari, Pouria; Dehghan, Mehdi 4 2019 On the numerical solution of nonlinear integral equations on non-rectangular domains utilizing thin plate spline collocation method. Zbl 1450.65180 Assari, Pouria; Dehghan, Mehdi 1 2019 The implication of local thin plate splines for solving nonlinear mixed integro-differential equations based on the Galerkin scheme. Zbl 1463.65360 Assari, Pouria; Asadi, Mehregan Fatemeh; Dehghan, Mehdi 1 2019 An upwind local radial basis functions-finite difference (RBF-FD) method for solving compressible Euler equation with application in finite-rate chemistry. Zbl 1464.93085 Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi 1 2019 A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed-order fractional damped diffusion-wave equation. Zbl 1395.65098 Dehghan, Mehdi; Abbaszadeh, Mostafa 45 2018 A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Zbl 1415.65224 Dehghan, Mehdi; Abbaszadeh, Mostafa 41 2018 An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations. Zbl 1395.65074 Dehghan, Mehdi; Abbaszadeh, Mostafa 40 2018 A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. Zbl 1409.76095 Dehghan, Mehdi; Abbaszadeh, Mostafa 27 2018 Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015 Dehghan, Mehdi; Abbaszadeh, Mostafa 26 2018 Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains. Zbl 1403.78037 Dehghan, Mehdi; Abbaszadeh, Mostafa 26 2018 An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation. Zbl 1403.65109 Dehghan, Mehdi; Abbaszadeh, Mostafa 26 2018 Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method. Zbl 1377.65158 Assari, Pouria; Dehghan, Mehdi 20 2018 A new approach to improve the order of approximation of the Bernstein operators: theory and applications. Zbl 1388.41002 Khosravian-Arab, Hassan; Dehghan, Mehdi; Eslahchi, M. R. 18 2018 ...and 486 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,512 Authors 482 Dehghan Takht Fooladi, Mehdi 87 Abbaszadeh, Mostafa 77 Băleanu, Dumitru I. 64 Bhrawy, Ali Hassan 56 Abbasbandy, Saeid 52 Hajarian, Masoud 50 Doha, Eid H. 50 Ordokhani, Yadollah 50 Yıldırım, Ahmet 48 Wazwaz, Abdul-Majid Abdul-Rahman 46 Razzaghi, Mohsen 45 Shivanian, Elyas 44 Avazzadeh, Zakieh 43 Lakestani, Mehrdad 42 Mohebbi, Akbar 42 Zaky, Mahmoud A. 41 Parand, Kourosh 40 Yüzbaşı, Şuayip 38 Eslahchi, Mohammad Reza 37 Ma, Changfeng 37 Saadatmandi, Abbas 36 Adibi, Hojatollah 36 Heydari, Mohammad Hossein 35 Mohanty, Ranjan Kumar 34 Li, Xiaolin 33 Ding, Feng 31 Manafian Heris, Jalil 30 Liu, Fawang 29 Li, Hong 28 Machado, José António Tenreiro 28 Wang, Qingwen 27 Liu, Yang 27 Tohidi, Emran 26 Abdelkawy, Mohamed A. 26 Assari, Pouria 26 Masjed-Jamei, Mohammad 26 Nikan, Omid 26 Rashidinia, Jalil 26 Sezer, Mehmet 25 Abd-Elhameed, Waleed Mohamed 25 Ashyralyev, Allaberen 25 Ezz-Eldien, Samer S. 25 Jiwari, Ram 25 Yousefi, Sohrab Ali 24 Hashim, Ishak 24 Hendy, Ahmed S. 24 Mirzaei, Davoud 24 Mittal, Ramesh Chand 24 Oruç, Ömer 24 Siraj-ul-Islam 24 Tatari, Mehdi 23 Youssri, Youssri H. 22 Aminikhah, Hossein 22 Mei, Liquan 22 Mirzaee, Farshid 22 Rahimkhani, Parisa 22 Sayevand, Khosro 21 Kazem, Saeed 21 Pandey, Rajesh Kumar 21 Singh, Vineet Kumar 20 Hafez, Ramy Mahmoud 20 Rad, Jamal Amani 20 Wang, Yushun 19 Maleknejad, Khosrow 19 Mazrooei-Sebdani, Reza 19 Salehi, Rezvan 19 Shah, Kamal 19 Sun, Zhizhong 19 Wu, Boying 19 Yang, Liu 18 Abbas, Muhammad Mohsin 18 Deng, Zuicha 18 Salahshour, Soheil 17 Allahviranloo, Tofigh 17 Biazar, Jafar 17 Inc, Mustafa 17 Lin, Ji 17 Omrani, Khaled 16 Cattani, Carlo 16 Khan, Rahmat Ali 16 Lin, Yingzhen 16 Mohammadi, Vahid 16 Mohyud-Din, Syed Tauseef 16 Pan, Kejia 16 Sapagovas, Mifodijus 15 Effati, Sohrab 15 Jafari, Hossein 15 Kim, Junseok 15 Momani, Shaher M. 14 Ahmadian, Ali 14 Babolian, Esmail 14 Delkhosh, Mehdi 14 Deng, Dingwen 14 Golbabai, Ahmad 14 He, ZhuoHeng 14 Liu, Chein-Shan 14 Yin, Baoli 14 Zhang, Chengjian 13 Abdeljawad, Thabet 13 Abedian, Rooholah ...and 6,412 more Authors all top 5 Cited in 402 Serials 463 Applied Mathematics and Computation 336 Computers & Mathematics with Applications 262 Engineering Analysis with Boundary Elements 226 International Journal of Computer Mathematics 221 Journal of Computational and Applied Mathematics 206 Applied Numerical Mathematics 203 Applied Mathematical Modelling 181 Computational and Applied Mathematics 173 Numerical Methods for Partial Differential Equations 137 Mathematical Methods in the Applied Sciences 127 Numerical Algorithms 126 Advances in Difference Equations 123 Communications in Nonlinear Science and Numerical Simulation 104 International Journal of Applied and Computational Mathematics 102 Mathematics and Computers in Simulation 101 Journal of Computational Physics 87 Mathematical Problems in Engineering 85 Abstract and Applied Analysis 79 Computational Methods for Differential Equations 77 Applied Mathematics Letters 73 Chaos, Solitons and Fractals 70 Journal of Scientific Computing 54 Computer Methods in Applied Mechanics and Engineering 54 Journal of Applied Mathematics and Computing 53 Computer Physics Communications 50 Mathematical Sciences 49 Journal of Applied Mathematics 47 Mathematical and Computer Modelling 46 International Journal of Computational Methods 45 Nonlinear Dynamics 45 Inverse Problems in Science and Engineering 41 Journal of the Franklin Institute 40 Discrete Dynamics in Nature and Society 39 International Journal of Numerical Methods for Heat & Fluid Flow 38 International Journal of Nonlinear Sciences and Numerical Simulation 38 Advances in Applied Mathematics and Mechanics 37 Journal of Function Spaces 34 Advances in Mathematical Physics 30 Filomat 29 Journal of Vibration and Control 28 Boundary Value Problems 27 Applicable Analysis 26 AIMS Mathematics 24 Journal of the Egyptian Mathematical Society 24 Journal of Difference Equations and Applications 24 S\(\vec{\text{e}}\)MA Journal 24 Journal of Mathematical Modeling 23 Fractional Calculus & Applied Analysis 22 Journal of Optimization Theory and Applications 22 Mediterranean Journal of Mathematics 20 Soft Computing 19 Physica A 19 Calcolo 19 Fractals 19 International Journal for Numerical Methods in Biomedical Engineering 17 Computers and Fluids 17 Journal of Mathematical Analysis and Applications 15 Linear and Multilinear Algebra 15 SIAM Journal on Scientific Computing 15 Turkish Journal of Mathematics 15 Journal of Mathematical Chemistry 15 Mathematical Modelling and Analysis 14 Computational Mathematics and Mathematical Physics 14 International Journal of Biomathematics 13 Computational Mechanics 13 Iranian Journal of Science and Technology. 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