# zbMATH — the first resource for mathematics

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 Author ID: dehghan.mehdi Published as: Deghan, Mehdi; Dehghan, M.; Dehghan, Mehdi Homepage: https://aut.ac.ir/cv/2123/Mehdi%20Dehghan%20Takht%20Fooladi External Links: MGP · Wikidata · ORCID · dblp
 Documents Indexed: 561 Publications since 1993
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all top 5

#### Serials

 76 Applied Mathematics and Computation 47 Computers & Mathematics with Applications 44 Numerical Methods for Partial Differential Equations 36 Journal of Computational and Applied Mathematics 34 Engineering Analysis with Boundary Elements 28 Applied Numerical Mathematics 22 International Journal of Computer Mathematics 21 Applied Mathematical Modelling 19 Computer Physics Communications 18 Mathematical Methods in the Applied Sciences 18 Mathematical and Computer Modelling 15 Journal of Vibration and Control 12 Chaos, Solitons and Fractals 12 Numerical Algorithms 10 Mathematical Problems in Engineering 10 Communications in Nonlinear Science and Numerical Simulation 9 Computer Methods in Applied Mechanics and Engineering 7 Computational and Applied Mathematics 7 Physica Scripta 6 Journal of Computational Physics 6 Kybernetes 6 International Journal for Numerical Methods in Biomedical Engineering 5 Mathematics and Computers in Simulation 5 Computational Mechanics 5 International Journal of Numerical Methods for Heat & Fluid Flow 4 Applied Mathematics Letters 4 Journal of Difference Equations and Applications 4 CMES. Computer Modeling in Engineering & Sciences 3 Physics Letters. A 3 Communications in Numerical Methods in Engineering 3 Nonlinear Dynamics 2 Applicable Analysis 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 Inverse Problems in Science and Engineering 2 Numerical Mathematics: Theory, Methods and Applications 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 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 International Journal of Approximate Reasoning 1 Journal of Scientific Computing 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 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Integral Transforms and Special Functions 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematics and Mechanics of Solids 1 Far East Journal of Applied Mathematics 1 International Journal of Numerical Modelling 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 Computational Methods for Differential Equations
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#### Fields

 465 Numerical analysis (65-XX) 234 Partial differential equations (35-XX) 46 Integral equations (45-XX) 41 Fluid mechanics (76-XX) 37 Ordinary differential equations (34-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 34 Approximations and expansions (41-XX) 30 Difference and functional equations (39-XX) 21 Biology and other natural sciences (92-XX) 17 Mechanics of deformable solids (74-XX) 16 Real functions (26-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 11 Special functions (33-XX) 9 Probability theory and stochastic processes (60-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Computer science (68-XX) 8 Systems theory; control (93-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Optics, electromagnetic theory (78-XX) 6 Quantum theory (81-XX) 5 General algebraic systems (08-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-XX) 3 Mechanics of particles and systems (70-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX)

#### Citations contained in zbMATH

500 Publications have been cited 10,903 times in 3,708 Documents Cited by Year
A new operational matrix for solving fractional-order differential equations. Zbl 1189.65151
2010
Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices. Zbl 1089.65085
Dehghan, Mehdi
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
2008
Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
2010
Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions. Zbl 1168.65398
Dehghan, Mehdi; Shokri, Ali
2009
On the convergence of He’s variational iteration method. Zbl 1120.65112
Tatari, Mehdi; Dehghan, Mehdi
2007
Solution of delay differential equations via a homotopy perturbation method. Zbl 1145.34353
Shakeri, Fatemeh; Dehghan, Mehdi
2008
On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. Zbl 1059.65072
Dehghan, Mehdi
2005
The general coupled matrix equations over generalized bisymmetric matrices. Zbl 1187.65042
Dehghan, Mehdi; Hajarian, Masoud
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
2008
The one-dimensional heat equation subject to a boundary integral specification. Zbl 1139.35352
Dehghan, Mehdi
2007
Parameter determination in a partial differential equation from the overspecified data. Zbl 1080.35174
Dehghan, M.
2005
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
2010
A tau approach for solution of the space fractional diffusion equation. Zbl 1228.65203
2011
An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices. Zbl 1185.65054
Dehghan, Mehdi; Hajarian, Masoud
2010
On generalized moving least squares and diffuse derivatives. Zbl 1252.65037
Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi
2012
Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. Zbl 1063.65079
Dehghan, Mehdi
2005
The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients. Zbl 1250.65121
2012
A numerical method for solving the hyperbolic telegraph equation. Zbl 1145.65078
Dehghan, Mehdi; Shokri, Ali
2008
A meshless based method for solution of integral equations. Zbl 1202.65174
Mirzaei, Davoud; Dehghan, Mehdi
2010
A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Zbl 1084.65099
Dehghan, Mehdi
2006
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
2009
A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions. Zbl 1126.65092
Dehghan, Mehdi; Shokri, Ali
2007
Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations. Zbl 1227.65037
Dehghan, Mehdi; Hajarian, Masoud
2011
Numerical solution of the Klein-Gordon equation via He’s variational iteration method. Zbl 1179.81064
Shakeri, Fatemeh; Dehghan, Mehdi
2008
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
2010
Inverse problem of diffusion equation by He’s homotopy perturbation method. Zbl 1110.35354
Shakeri, Fatemeh; Dehghan, Mehdi
2007
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.
2010
On the solution of the non-local parabolic partial differential equations via radial basis functions. Zbl 1168.65403
Tatari, Mehdi; Dehghan, Mehdi
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
2008
Dehghan, Mehdi; Hamidi, Asgar; Shakourifar, Mohammad
2007
Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Zbl 1186.65136
2010
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
2013
The construction of operational matrix of fractional derivatives using B-spline functions. Zbl 1276.65015
Lakestani, Mehrdad; Dehghan, Mehdi; Irandoust-Pakchin, Safar
2012
A numerical technique for solving fractional optimal control problems. Zbl 1228.65109
Lotfi, A.; Dehghan, Mehdi; Yousefi, S. A.
2011
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
2013
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
2010
Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type. Zbl 1177.65100
Parand, K.; Shahini, M.; Dehghan, Mehdi
2009
Solution of a partial differential equation subject to temperature overspecification by He’s homotopy perturbation method. Zbl 1117.35326
Dehghan, Mehdi; Shakeri, Fatemeh
2007
A method for solving partial differential equations via radial basis functions: application to the heat equation. Zbl 1244.80024
Tatari, Mehdi; Dehghan, Mehdi
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
2008
An inverse problem of finding a source parameter in a semilinear parabolic equation. Zbl 0995.65098
Dehghan, Mehdi
2001
Combination of meshless local weak and strong (MLWS) forms to solve the two-dimensional hyperbolic telegraph equation. Zbl 1244.65147
Dehghan, Mehdi; Ghesmati, Arezou
2010
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
2010
The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation. Zbl 1244.65139
Dehghan, Mehdi; Mirzaei, Davoud
2008
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
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
2009
Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Zbl 1069.65104
Dehghan, Mehdi
2005
Variational iteration method for solving a generalized pantograph equation. Zbl 1189.65172
2009
A moving least square reproducing polynomial meshless method. Zbl 1284.65137
Salehi, Rezvan; Dehghan, Mehdi
2013
The numerical solution of the non-linear integro-differential equations based on the meshless method. Zbl 1243.65154
Dehghan, Mehdi; Salehi, Rezvan
2012
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
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
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
2006
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
2014
Application of the collocation method for solving nonlinear fractional integro-differential equations. Zbl 1296.65106
Eslahchi, M. R.; Dehghan, Mehdi; Parvizi, M.
2014
Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. Zbl 1321.65129
Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa
2015
Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation. Zbl 1183.65113
Mirzaei, Davoud; Dehghan, Mehdi
2010
High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087
Dehghan, Mehdi; Mohebbi, Akbar
2009
He’s variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation. Zbl 1131.65084
Tatari, Mehdi; Dehghan, Mehdi
2007
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.
2011
High-order compact solution of the one-dimensional heat and advection-diffusion equations. Zbl 1201.65183
Mohebbi, Akbar; Dehghan, Mehdi
2010
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
2010
A numerical method for KdV equation using collocation and radial basis functions. Zbl 1185.76832
Dehghan, Mehdi; Shokri, Ali
2007
The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation. Zbl 1169.76401
Dehghan, Mehdi; Mirzaei, Davoud
2008
Solution of a model describing biological species living together using the variational iteration method. Zbl 1156.92332
Shakeri, Fatemeh; Dehghan, Mehdi
2008
Solution of a partial integro-differential equation arising from viscoelasticity. Zbl 1087.65119
Dehghan, Mehdi
2006
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
2015
Numerical solution to the unsteady two-dimensional Schrödinger equation using meshless local boundary integral equation method. Zbl 1195.81007
Dehghan, Mehdi; Mirzaei, Davoud
2008
Application of He’s variational iteration method for solving the Cauchy reaction-diffusion problem. Zbl 1135.65381
Dehghan, Mehdi; Shakeri, Fatemeh
2008
The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods. Zbl 1344.82041
2013
Identifying an unknown function in a parabolic equation with overspecified data via He’s variational iteration method. Zbl 1152.35390
Dehghan, Mehdi; Tatari, Mehdi
2008
The use of Adomian decomposition method for solving problems in calculus of variations. Zbl 1200.65050
Dehghan, Mehdi; Tatari, Mehdi
2006
Computational methods for solving fully fuzzy linear systems. Zbl 1101.65040
Dehghan, Mehdi; Hashemi, Behnam; Ghatee, Mehdi
2006
Iterative solution of fuzzy linear systems. Zbl 1137.65336
Dehghan, Mehdi; Hashemi, Behnam
2006
A meshless local Petrov-Galerkin method for the time-dependent Maxwell equations. Zbl 1293.65128
Dehghan, Mehdi; Salehi, Rezvan
2014
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
2013
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
2012
Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein-Gordon equation. Zbl 1219.65104
Dehghan, Mehdi; Ghesmati, Arezou
2010
Solution of a nonlinear time-delay model in biology via semi-analytical approaches. Zbl 1219.65062
Dehghan, Mehdi; Salehi, Rezvan
2010
Weighted finite difference techniques for the one-dimensional advection-diffusion equation. Zbl 1034.65069
Dehghan, Mehdi
2004
Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials. Zbl 1266.65115
Sedaghat, S.; Ordokhani, Y.; Dehghan, Mehdi
2012
High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods. Zbl 1190.65126
Mohebbi, Akbar; Dehghan, Mehdi
2010
The use of compact boundary value method for the solution of two-dimensional Schrödinger equation. Zbl 1159.65081
Mohebbi, Akbar; Dehghan, Mehdi
2009
Numerical solution of the three-dimensional advection–diffusion equation. Zbl 1038.65074
Dehghan, Mehdi
2004
The numerical solution of the second Painlevé equation. Zbl 1172.65037
Dehghan, Mehdi; Shakeri, Fatemeh
2009
The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation. Zbl 1169.65102
2009
High order compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071
Mohebbi, Akbar; Dehghan, Mehdi
2008
Fourth-order techniques for identifying a control parameter in the parabolic equations. Zbl 1211.65120
Dehghan, Mehdi
2002
Determination of a control parameter in the two-dimensional diffusion equation. Zbl 0982.65103
Dehghan, Mehdi
2001
The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves. Zbl 1219.65106
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
2009
A Legendre collocation method for fractional integro-differential equations. Zbl 1271.65157
2011
The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas. Zbl 1263.76047
Dehghan, Mehdi; Salehi, Rezvan
2011
Fourth-order compact solution of the nonlinear Klein-Gordon equation. Zbl 1180.65114
Dehghan, Mehdi; Mohebbi, Akbar; Asgari, Zohreh
2009
Determination of a control function in three-dimensional parabolic equations. Zbl 1014.65097
Dehghan, Mehdi
2003
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
2013
Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method. Zbl 1252.65161
Shamsi, M.; Dehghan, Mehdi
2012
Solution of the fully fuzzy linear systems using iterative techniques. Zbl 1144.65021
Dehghan, Mehdi; Hashemi, Behnam; Ghatee, Mehdi
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
2015
Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. Zbl 1444.76083
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
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
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
2020
Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. Zbl 1443.65188
2020
A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations. Zbl 1404.65207
2019
Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method. Zbl 1412.65070
2019
The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 07110343
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
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
2019
A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations. Zbl 1429.65308
Assari, Pouria; Dehghan, Mehdi
2019
A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation. Zbl 1429.65085
Dehghan, Mehdi; Shirilord, Akbar
2019
A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook Equation. Zbl 07119146
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 07110385
2019
Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method. Zbl 1440.74428
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
2019
The double-step scale splitting method for solving complex Sylvester matrix equation. Zbl 07101783
Dehghan, Mehdi; Shirilord, Akbar
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
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
2019
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
2018
A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Zbl 1415.65224
2018
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
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
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
2018
Numerical solution of 2D Navier-Stokes equation discretized via boundary elements method and finite difference approximation. Zbl 1403.76102
Sedaghatjoo, Zeynab; Dehghan, Mehdi; Hosseinzadeh, Hossein
2018
A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions. Zbl 1380.65395
Assari, Pouria; Dehghan, Mehdi
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
2018
The two-grid interpolating element free Galerkin (TG-IEFG) method for solving Rosenau-regularized long wave (RRLW) equation with error analysis. Zbl 1395.65133
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.
2018
Variational multiscale element-free Galerkin method combined with the moving Kriging interpolation for solving some partial differential equations with discontinuous solutions. Zbl 1404.65084
2018
A reduced proper orthogonal decomposition (POD) element free Galerkin (POD-EFG) method to simulate two-dimensional solute transport problems and error estimate. Zbl 1380.65255
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
2018
On a new family of radial basis functions: mathematical analysis and applications to option pricing. Zbl 1372.65283
Kazemi, Seyed-Mohammad-Mahdi; Dehghan, Mehdi; Foroush Bastani, Ali
2018
The approximate solution of nonlinear Volterra integral equations of the second kind using radial basis functions. Zbl 1446.65205
Assari, Pouria; Dehghan, Mehdi
2018
A stable boundary elements method for magnetohydrodynamic channel flows at high Hartmann numbers. Zbl 1388.76192
Sedaghatjoo, Zeynab; Dehghan, Mehdi; Hosseinzadeh, Hossein
2018
Fully spectral collocation method for nonlinear parabolic partial integro-differential equations. Zbl 1377.65169
2018
Error analysis of a meshless weak form method based on radial point interpolation technique for Sivashinsky equation arising in the alloy solidification problem. Zbl 1371.41024
2018
An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue. Zbl 07167922
Dehghan, Mehdi; Narimani, Niusha
2018
Approximation of continuous surface differential operators with the generalized moving least-squares (GMLS) method for solving reaction-diffusion equation. Zbl 1413.65381
Dehghan, Mehdi; Narimani, Niusha
2018
Modal spectral element method in curvilinear domains. Zbl 1393.65034
2018
A $$hk$$ mortar spectral element method for the $$p$$-Laplacian equation. Zbl 1434.65298
Sabouri, Mania; Dehghan, Mehdi
2018
The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrödinger equation and Schrödinger-Boussinesq system. Zbl 1424.65201
Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi
2018
A local Galerkin integral equation method for solving integro-differential equations arising in oscillating magnetic fields. Zbl 1397.78010
Assari, Pouria; Dehghan, Mehdi
2018
Application of finite difference method of lines on the heat equation. Zbl 1390.65072
Kazem, Saeed; Dehghan, Mehdi
2018
An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Zbl 1412.65131
2017
The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations. Zbl 1403.74285
2017
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173
Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua
2017
Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations. Zbl 1380.65240
Moghaderi, Hamid; Dehghan, Mehdi; Donatelli, Marco; Mazza, Mariarosa
2017
Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261
2017
The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. Zbl 1380.65301
2017
Fractional spectral and pseudo-spectral methods in unbounded domains: theory and applications. Zbl 1415.65177
Khosravian-Arab, Hassan; Dehghan, Mehdi; Eslahchi, M. R.
2017
A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method. Zbl 1411.65108
2017
Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition. Zbl 1412.65138
2017
A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions. Zbl 1426.65206
Assari, Pouria; Dehghan, Mehdi
2017
Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121
2017
Asymptotic expansion of solutions to the Black-Scholes equation arising from American option pricing near the expiry. Zbl 1352.91034
Kazemi, Seyed-Mohammad-Mahdi; Dehghan, Mehdi; Foroush Bastani, Ali
2017
Generalized product-type methods based on bi-conjugate gradient (GPBiCG) for solving shifted linear systems. Zbl 1383.65025
2017
Mixed two-grid finite difference methods for solving one-dimensional and two-dimensional Fitzhugh-Nagumo equations. Zbl 1380.65168
2017
An adaptive meshless local Petrov-Galerkin method based on a posteriori error estimation for the boundary layer problems. Zbl 1353.65121
Kamranian, Maryam; Dehghan, Mehdi; Tatari, Mehdi
2017
Error analysis of method of lines (MOL) via generalized interpolating moving least squares (GIMLS) approximation. Zbl 1366.65083
2017
Generalized Bessel functions: theory and their applications. Zbl 1381.33009
Khosravian-Arab, Hassan; Dehghan, Mehdi; Eslahchi, M. R.
2017
On uniqueness of numerical solution of boundary integral equations with 3-times monotone radial kernels. Zbl 1352.65595
Sedaghatjoo, Zeynab; Dehghan, Mehdi; Hosseinzadeh, Hossein
2017
Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. Zbl 1348.65141
2016
A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials. Zbl 1365.26005
Dehghan, Mehdi; Hamedi, Ehsan-Allah; Khosravian-Arab, Hassan
2016
Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods. Zbl 1403.65068
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
The dual reciprocity boundary elements method for the linear and nonlinear two-dimensional time-fractional partial differential equations. Zbl 1347.65182
Dehghan, Mehdi; Safarpoor, Mansour
2016
The numerical simulation of the phase field crystal (PFC) and modified phase field crystal (MPFC) models via global and local meshless methods. Zbl 1423.76321
2016
The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models. Zbl 1403.65067
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. Zbl 1359.65199
2016
Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction-diffusion system with and without cross-diffusion. Zbl 1425.65108
2016
Remediation of contaminated groundwater by meshless local weak forms. Zbl 1368.76035
2016
Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 07159582
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
The dual reciprocity boundary integral equation technique to solve a class of the linear and nonlinear fractional partial differential equations. Zbl 1342.65224
Dehghan, Mehdi; Safarpoor, Mansour
2016
A meshless method based on the dual reciprocity method for one-dimensional stochastic partial differential equations. Zbl 1337.65010
2016
Distributed optimal control of the viscous Burgers equation via a Legendre pseudo-spectral approach. Zbl 1344.49053
Sabeh, Z.; Shamsi, M.; Dehghan, Mehdi
2016
Numerical solution of a non-classical two-phase Stefan problem via radial basis function (RBF) collocation methods. Zbl 1403.80037
Dehghan, Mehdi; Najafi, Mahboubeh
2016
Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation $$A(p)X=B(p)$$. Zbl 1356.65113
2016
A fast and efficient two-grid method for solving $$d$$-dimensional Poisson equations. Zbl 1342.65226
Moghaderi, Hamid; Dehghan, Mehdi; Hajarian, Masoud
2016
Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. Zbl 1439.76060
2016
Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein-Gordon-Schrödinger (KGS) equations. Zbl 1443.65240
2016
Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. Zbl 1321.65129
Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa
2015
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
2015
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
2015
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
2015
The numerical solution of Cahn-Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods. Zbl 1403.65085
2015
Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications. Zbl 1352.65202
Khosravian-Arab, Hassan; Dehghan, Mehdi; Eslahchi, M. R.
2015
Numerical solution of fractional advection-diffusion equation with a nonlinear source term. Zbl 1319.35290
Parvizi, M.; Eslahchi, M. R.; Dehghan, Mehdi
2015
A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model. Zbl 1403.65084
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
The modified dual reciprocity boundary elements method and its application for solving stochastic partial differential equations. Zbl 1403.65192
2015
Meshless simulation of stochastic advection-diffusion equations based on radial basis functions. Zbl 1403.65086
2015
Numerical solution of stochastic elliptic partial differential equations using the meshless method of radial basis functions. Zbl 1403.65152
2015
The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations. Zbl 1403.65092
2015
The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
A spectral element method using the modal basis and its application in solving second-order nonlinear partial differential equations. Zbl 1307.65138
2015
A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation. Zbl 1335.35219
2015
An efficient meshfree point collocation moving least squares method to solve the interface problems with nonhomogeneous jump conditions. Zbl 1326.65165
Taleei, Ameneh; Dehghan, Mehdi
2015
Chebyshev polynomials and best approximation of some classes of functions. Zbl 1323.41027
Eslahchi, Mohammad R.; Dehghan, Mehdi; Amani, Sanaz
2015
A meshless numerical procedure for solving fractional reaction subdiffusion model via a new combination of alternating direction implicit (ADI) approach and interpolating element free Galerkin (EFG) method. Zbl 1443.65189
2015
Symmetrical weighted essentially non-oscillatory-flux limiter schemes for Hamilton-Jacobi equations. Zbl 1342.65172
Abedian, Rooholah; Adibi, Hojatollah; Dehghan, Mehdi
2015
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#### Cited in 298 Serials

 413 Applied Mathematics and Computation 252 Computers & Mathematics with Applications 176 Engineering Analysis with Boundary Elements 169 Journal of Computational and Applied Mathematics 157 Applied Mathematical Modelling 117 International Journal of Computer Mathematics 113 Applied Numerical Mathematics 92 Computational and Applied Mathematics 90 Numerical Algorithms 85 Mathematical Methods in the Applied Sciences 83 Abstract and Applied Analysis 82 Numerical Methods for Partial Differential Equations 76 Advances in Difference Equations 74 Mathematical Problems in Engineering 64 Journal of Computational Physics 59 Communications in Nonlinear Science and Numerical Simulation 55 Applied Mathematics Letters 55 International Journal of Applied and Computational Mathematics 47 Mathematical and Computer Modelling 46 Computer Physics Communications 44 Journal of Applied Mathematics 43 Chaos, Solitons and Fractals 41 Nonlinear Dynamics 39 International Journal of Numerical Methods for Heat & Fluid Flow 37 Journal of Scientific Computing 35 Discrete Dynamics in Nature and Society 33 Journal of the Franklin Institute 29 Journal of Vibration and Control 25 International Journal of Computational Methods 24 Computer Methods in Applied Mechanics and Engineering 23 Journal of Applied Mathematics and Computing 22 Inverse Problems in Science and Engineering 21 Journal of Difference Equations and Applications 20 Applicable Analysis 20 Mathematical Sciences 19 International Journal for Numerical Methods in Biomedical Engineering 19 S$$\vec{\text{e}}$$MA Journal 18 Journal of the Egyptian Mathematical Society 18 Advances in Mathematical Physics 17 Journal of Optimization Theory and Applications 16 Soft Computing 16 Fractional Calculus & Applied Analysis 15 International Journal of Nonlinear Sciences and Numerical Simulation 14 Mediterranean Journal of Mathematics 13 Iranian Journal of Science and Technology. Transaction A: Science 13 Computational Methods for Differential Equations 12 International Journal of Biomathematics 11 Journal of Mathematical Analysis and Applications 11 Linear and Multilinear Algebra 11 Calcolo 11 Computational Mathematics and Modeling 11 Turkish Journal of Mathematics 11 Nonlinear Analysis. Real World Applications 11 Boundary Value Problems 10 Computers and Fluids 10 International Journal for Numerical Methods in Engineering 10 Mathematics and Computers in Simulation 10 Computational Mechanics 10 Computational Mathematics and Mathematical Physics 10 Mathematics 9 Physics Letters. A 9 Advances in Computational Mathematics 9 Journal of Mathematical Chemistry 9 Applications and Applied Mathematics 9 International Journal of Differential Equations 9 Symmetry 9 Asian Journal of Control 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Complexity 8 Tbilisi Mathematical Journal 7 BIT 7 Information Sciences 7 Meccanica 7 Numerical Functional Analysis and Optimization 7 SIAM Journal on Scientific Computing 7 Nonlinear Analysis. Modelling and Control 7 Asian-European Journal of Mathematics 6 International Journal of Control 6 Journal of Mathematical Physics 6 Kybernetes 6 Acta Mathematicae Applicatae Sinica. English Series 6 Communications in Numerical Methods in Engineering 6 Sādhanā 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Afrika Matematika 5 International Journal of Modern Physics B 5 Circuits, Systems, and Signal Processing 5 Linear Algebra and its Applications 5 Integral Transforms and Special Functions 5 Journal of Inequalities and Applications 5 Differential Equations 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of Intelligent and Fuzzy Systems 5 International Journal of Wavelets, Multiresolution and Information Processing 5 Boletim da Sociedade Paranaense de Matemática. Terceira Série 5 Discrete and Continuous Dynamical Systems. Series S 5 Advances in Fuzzy Systems 5 Science China. Mathematics 5 Journal of Applied Mathematics, Statistics and Informatics 5 Journal of Linear and Topological Algebra ...and 198 more Serials
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#### Cited in 51 Fields

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