Compute Distance To:
 Author ID: dehghan.mehdi Published as: Dehghan, Mehdi; Dehghan, M.; Deghan, Mehdi more...less Homepage: https://aut.ac.ir/cv/2123/Mehdi%20Dehghan%20Takht%20Fooladi External Links: MGP · ORCID · dblp
 Documents Indexed: 616 Publications since 1993 Co-Authors: 160 Co-Authors with 560 Joint Publications 2,305 Co-Co-Authors
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### Serials

 80 Applied Mathematics and Computation 50 Computers & Mathematics with Applications 44 Numerical Methods for Partial Differential Equations 41 Journal of Computational and Applied Mathematics 41 Engineering Analysis with Boundary Elements 36 Applied Numerical Mathematics 27 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 11 Communications in Nonlinear Science and Numerical Simulation 10 Mathematical Problems in Engineering 9 Computer Methods in Applied Mechanics and Engineering 8 Computational and Applied Mathematics 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 Difference Equations and Applications 4 CMES. Computer Modeling in Engineering & Sciences 3 Applicable Analysis 3 Physics Letters. A 3 Journal of Scientific Computing 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 Computing 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 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 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 Advances in Applied Mathematics and Mechanics 1 Iranian Journal of Mathematical Chemistry 1 Journal of Function Spaces 1 Iranian Journal of Numerical Analysis and Optimization 1 Computational Methods for Differential Equations
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### Fields

 513 Numerical analysis (65-XX) 260 Partial differential equations (35-XX) 55 Integral equations (45-XX) 51 Fluid mechanics (76-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 38 Ordinary differential equations (34-XX) 36 Approximations and expansions (41-XX) 30 Difference and functional equations (39-XX) 27 Biology and other natural sciences (92-XX) 20 Real functions (26-XX) 19 Mechanics of deformable solids (74-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 11 Special functions (33-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Probability theory and stochastic processes (60-XX) 9 Computer science (68-XX) 9 Systems theory; control (93-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Quantum theory (81-XX) 5 General algebraic systems (08-XX) 5 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 4 Geophysics (86-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Information and communication theory, circuits (94-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mechanics of particles and systems (70-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Astronomy and astrophysics (85-XX) 1 Functions of a complex variable (30-XX)

### Citations contained in zbMATH Open

556 Publications have been cited 13,907 times in 5,085 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
Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
2010
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
Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions. Zbl 1168.65398
Dehghan, Mehdi; Shokri, Ali
2009
Solution of delay differential equations via a homotopy perturbation method. Zbl 1145.34353
Shakeri, Fatemeh; Dehghan, Mehdi
2008
On the convergence of He’s variational iteration method. Zbl 1120.65112
Tatari, Mehdi; Dehghan, Mehdi
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
2005
The general coupled matrix equations over generalized bisymmetric matrices. Zbl 1187.65042
Dehghan, Mehdi; Hajarian, Masoud
2010
On generalized moving least squares and diffuse derivatives. Zbl 1252.65037
Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi
2012
The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients. Zbl 1250.65121
2012
Parameter determination in a partial differential equation from the overspecified data. Zbl 1080.35174
Dehghan, M.
2005
A tau approach for solution of the space fractional diffusion equation. Zbl 1228.65203
2011
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
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
An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices. Zbl 1185.65054
Dehghan, Mehdi; Hajarian, Masoud
2010
Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. Zbl 1063.65079
Dehghan, Mehdi
2005
A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Zbl 1084.65099
Dehghan, Mehdi
2006
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 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 numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions. Zbl 1126.65092
Dehghan, Mehdi; Shokri, Ali
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
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
Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations. Zbl 1227.65037
Dehghan, Mehdi; Hajarian, Masoud
2011
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
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
Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Zbl 1186.65136
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
2015
Dehghan, Mehdi; Hamidi, Asgar; Shakourifar, Mohammad
2007
Numerical solution of the Klein-Gordon equation via He’s variational iteration method. Zbl 1179.81064
Shakeri, Fatemeh; Dehghan, Mehdi
2008
The construction of operational matrix of fractional derivatives using B-spline functions. Zbl 1276.65015
Lakestani, Mehrdad; Dehghan, Mehdi; Irandoust-Pakchin, Safar
2012
Application of the collocation method for solving nonlinear fractional integro-differential equations. Zbl 1296.65106
Eslahchi, M. R.; Dehghan, Mehdi; Parvizi, M.
2014
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
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
Inverse problem of diffusion equation by He’s homotopy perturbation method. Zbl 1110.35354
Shakeri, Fatemeh; Dehghan, Mehdi
2007
On the solution of the non-local parabolic partial differential equations via radial basis functions. Zbl 1168.65403
Tatari, Mehdi; Dehghan, Mehdi
2009
Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type. Zbl 1177.65100
Parand, K.; Shahini, M.; 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
An inverse problem of finding a source parameter in a semilinear parabolic equation. Zbl 0995.65098
Dehghan, Mehdi
2001
The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation. Zbl 1244.65139
Dehghan, Mehdi; Mirzaei, Davoud
2008
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
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
High-order compact solution of the one-dimensional heat and advection-diffusion equations. Zbl 1201.65183
Mohebbi, Akbar; Dehghan, Mehdi
2010
Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials. Zbl 1266.65115
Sedaghat, S.; Ordokhani, Y.; Dehghan, Mehdi
2012
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
Solution of a partial integro-differential equation arising from viscoelasticity. Zbl 1087.65119
Dehghan, Mehdi
2006
The numerical solution of the non-linear integro-differential equations based on the meshless method. Zbl 1243.65154
Dehghan, Mehdi; Salehi, Rezvan
2012
Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Zbl 1069.65104
Dehghan, Mehdi
2005
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
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 moving least square reproducing polynomial meshless method. Zbl 1284.65137
Salehi, Rezvan; Dehghan, Mehdi
2013
Variational iteration method for solving a generalized pantograph equation. Zbl 1189.65172
2009
Weighted finite difference techniques for the one-dimensional advection-diffusion equation. Zbl 1034.65069
Dehghan, Mehdi
2004
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
High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087
Dehghan, Mehdi; Mohebbi, Akbar
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
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
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
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
Numerical solution of the three-dimensional advection–diffusion equation. Zbl 1038.65074
Dehghan, Mehdi
2004
A numerical method for KdV equation using collocation and radial basis functions. Zbl 1185.76832
Dehghan, Mehdi; Shokri, Ali
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
Numerical solution to the unsteady two-dimensional Schrödinger equation using meshless local boundary integral equation method. Zbl 1195.81007
Dehghan, Mehdi; Mirzaei, Davoud
2008
A Legendre collocation method for fractional integro-differential equations. Zbl 1271.65157
2011
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
Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation. Zbl 1183.65113
Mirzaei, Davoud; Dehghan, Mehdi
2010
The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation. Zbl 1169.76401
Dehghan, Mehdi; Mirzaei, Davoud
2008
Direct meshless local Petrov-Galerkin method for elliptic interface problems with applications in electrostatic and elastostatic. Zbl 1423.82009
Taleei, Ameneh; Dehghan, Mehdi
2014
The use of compact boundary value method for the solution of two-dimensional Schrödinger equation. Zbl 1159.65081
Mohebbi, Akbar; Dehghan, Mehdi
2009
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
The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods. Zbl 1344.82041
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
2013
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 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
Computational methods for solving fully fuzzy linear systems. Zbl 1101.65040
Dehghan, Mehdi; Hashemi, Behnam; Ghatee, Mehdi
2006
High order compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071
Mohebbi, Akbar; Dehghan, Mehdi
2008
A meshless local Petrov-Galerkin method for the time-dependent Maxwell equations. Zbl 1293.65128
Dehghan, Mehdi; Salehi, Rezvan
2014
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.
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
Application of He’s variational iteration method for solving the Cauchy reaction-diffusion problem. Zbl 1135.65381
Dehghan, Mehdi; Shakeri, Fatemeh
2008
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
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
An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Zbl 1412.65131
2017
Fourth-order compact solution of the nonlinear Klein-Gordon equation. Zbl 1180.65114
Dehghan, Mehdi; Mohebbi, Akbar; Asgari, Zohreh
2009
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 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
2010
Solution of a nonlinear time-delay model in biology via semi-analytical approaches. Zbl 1219.65062
Dehghan, Mehdi; Salehi, Rezvan
2010
Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients. Zbl 1193.65229
2010
The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation. Zbl 1169.65102
2009
Iterative solution of fuzzy linear systems. Zbl 1137.65336
Dehghan, Mehdi; Hashemi, Behnam
2006
Solution of a model describing biological species living together using the variational iteration method. Zbl 1156.92332
Shakeri, Fatemeh; Dehghan, Mehdi
2008
Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications. Zbl 1352.65202
Khosravian-Arab, Hassan; Dehghan, Mehdi; Eslahchi, M. R.
2015
A new ADI technique for two-dimensional parabolic equation with an integral condition. Zbl 1001.65094
Dehghan, M.
2002
Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
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
2012
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
Double parameter splitting (DPS) iteration method for solving complex symmetric linear systems. Zbl 1482.65054
Shirilord, Akbar; Dehghan, Mehdi
2022
Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media. Zbl 07447602
Dehghan, Mehdi; Gharibi, Zeinab
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
2022
Simulation of plane elastostatic equations of anisotropic functionally graded materials by integrated radial basis function based on finite difference approach. Zbl 07440030
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa
2022
Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems. Zbl 1492.65308
Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa
2022
Closed-form solution of non-symmetric algebraic Riccati matrix equation. Zbl 1489.15025
Shirilord, Akbar; Dehghan, Mehdi
2022
Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection-reaction-diffusion models. Zbl 1487.65160
2022
Single step iterative method for linear system of equations with complex symmetric positive semi-definite coefficient matrices. Zbl 07531241
Shirilord, Akbar; Dehghan, Mehdi
2022
Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model. Zbl 07426001
Dehghan, Mehdi; Gharibi, Zeinab
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
2021
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
2021
A divergence-free generalized moving least squares approximation with its application. Zbl 1458.76080
2021
A trustable shape parameter in the kernel-based collocation method with application to pricing financial options. Zbl 1464.91076
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
2021
The Crank-Nicolson/interpolating stabilized element-free Galerkin method to investigate the fractional Galilei invariant advection-diffusion equation. Zbl 1486.65156
2021
Local discontinuous Galerkin method for distributed-order time-fractional diffusion-wave equation: application of Laplace transform. Zbl 1473.65210
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
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
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
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 07391017
2021
Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system. Zbl 07351763
Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa
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.
2021
Generalized regularized least-squares approximation of noisy data with application to stochastic PDEs. Zbl 1452.65375
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
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
2021
Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. Zbl 1444.76083
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
Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. Zbl 1446.65103
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
2020
Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. Zbl 1464.65081
2020
Matrix multisplitting Picard-iterative method for solving generalized absolute value matrix equation. Zbl 1451.65048
Dehghan, Mehdi; Shirilord, Akbar
2020
Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174
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
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
Application of spectral element method for solving Sobolev equations with error estimation. Zbl 1452.65271
Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa
2020
Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 1464.74162
2020
Accelerated double-step scale splitting iteration method for solving a class of complex symmetric linear systems. Zbl 1445.65007
Dehghan, Mehdi; Shirilord, Akbar
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
2020
On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation. Zbl 1463.91203
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
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
2020
A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations. Zbl 1404.65207
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
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 1464.76052
2019
Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method. Zbl 1440.74428
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
The double-step scale splitting method for solving complex Sylvester matrix equation. Zbl 1463.65089
Dehghan, Mehdi; Shirilord, Akbar
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
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
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
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
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
A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation. Zbl 1465.76076
2019
Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains. Zbl 1442.65244
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
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 interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis. Zbl 1437.65121
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 07263930
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
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
2019
A cross-layer learning automata based gateway selection method in multi-radio multi-channel wireless mesh networks. Zbl 1459.68011
Parvanak, A. R.; Jahanshahi, M.; Dehghan, M.
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
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
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
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
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
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
Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015
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
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
The approximate solution of nonlinear Volterra integral equations of the second kind using radial basis functions. Zbl 1446.65205
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
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
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
Fully spectral collocation method for nonlinear parabolic partial integro-differential equations. Zbl 1377.65169
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
An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue. Zbl 1480.92103
Dehghan, Mehdi; Narimani, Niusha
2018
A stable boundary elements method for magnetohydrodynamic channel flows at high Hartmann numbers. Zbl 1388.76192
Sedaghatjoo, Zeynab; Dehghan, Mehdi; Hosseinzadeh, Hossein
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
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
A meshless discrete Galerkin method based on the free shape parameter radial basis functions for solving Hammerstein integral equations. Zbl 1438.65321
Assari, Pouria; 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
Application of finite difference method of lines on the heat equation. Zbl 1390.65072
Kazem, Saeed; Dehghan, Mehdi
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
A local Galerkin integral equation method for solving integro-differential equations arising in oscillating magnetic fields. Zbl 1397.78010
Assari, Pouria; 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
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
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
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 452 Applied Mathematics and Computation 292 Computers & Mathematics with Applications 236 Engineering Analysis with Boundary Elements 206 Journal of Computational and Applied Mathematics 189 International Journal of Computer Mathematics 180 Applied Numerical Mathematics 162 Applied Mathematical Modelling 152 Computational and Applied Mathematics 124 Advances in Difference Equations 112 Numerical Algorithms 103 International Journal of Applied and Computational Mathematics 86 Journal of Computational Physics 85 Mathematical Methods in the Applied Sciences 84 Abstract and Applied Analysis 82 Numerical Methods for Partial Differential Equations 81 Mathematical Problems in Engineering 81 Communications in Nonlinear Science and Numerical Simulation 74 Mathematics and Computers in Simulation 71 Chaos, Solitons and Fractals 67 Applied Mathematics Letters 60 Journal of Scientific Computing 48 Journal of Applied Mathematics 48 Computational Methods for Differential Equations 47 Mathematical and Computer Modelling 46 Journal of Applied Mathematics and Computing 45 Computer Physics Communications 41 Nonlinear Dynamics 40 Discrete Dynamics in Nature and Society 39 International Journal of Numerical Methods for Heat & Fluid Flow 39 Inverse Problems in Science and Engineering 38 Computer Methods in Applied Mechanics and Engineering 38 International Journal of Computational Methods 37 Journal of the Franklin Institute 34 Mathematical Sciences 33 Journal of Function Spaces 32 Advances in Applied Mathematics and Mechanics 31 Advances in Mathematical Physics 30 Filomat 29 Journal of Vibration and Control 29 International Journal of Nonlinear Sciences and Numerical Simulation 26 Applicable Analysis 26 Boundary Value Problems 24 Journal of Difference Equations and Applications 24 S$$\vec{\text{e}}$$MA Journal 22 Fractional Calculus & Applied Analysis 22 AIMS Mathematics 21 Journal of Optimization Theory and Applications 20 Journal of the Egyptian Mathematical Society 20 Soft Computing 19 International Journal for Numerical Methods in Biomedical Engineering 18 Mediterranean Journal of Mathematics 15 Journal of Mathematical Analysis and Applications 15 Linear and Multilinear Algebra 15 Physica A 15 Calcolo 14 Computers and Fluids 14 Computational Mathematics and Mathematical Physics 14 Turkish Journal of Mathematics 14 International Journal of Biomathematics 13 Computational Mechanics 13 Mathematical Modelling and Analysis 13 Iranian Journal of Science and Technology. Transaction A: Science 12 Computational Mathematics and Modeling 12 Journal of Mathematical Chemistry 12 Journal of Mathematical Modeling 12 Iranian Journal of Numerical Analysis and Optimization 11 Advances in Computational Mathematics 11 Nonlinear Analysis. Real World Applications 11 Discrete and Continuous Dynamical Systems. Series S 11 Asian-European Journal of Mathematics 11 Communications on Applied Mathematics and Computation 10 International Journal for Numerical Methods in Engineering 10 Numerical Functional Analysis and Optimization 10 Applications and Applied Mathematics 10 International Journal of Differential Equations 10 Mathematics 10 International Journal of Systems Science. Principles and Applications of Systems and Integration 9 BIT 9 SIAM Journal on Scientific Computing 9 Complexity 9 Journal of Inequalities and Applications 9 Hacettepe Journal of Mathematics and Statistics 9 Tbilisi Mathematical Journal 9 Symmetry 9 Asian Journal of Control 9 Journal of Mathematical Extension 9 Journal of Mathematics 9 East Asian Journal on Applied Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Acta Mathematicae Applicatae Sinica. English Series 8 Fractals 8 Nonlinear Analysis. Modelling and Control 8 Waves in Random and Complex Media 8 Communications in Computational Physics 8 Afrika Matematika 8 Journal of Applied Analysis and Computation 7 International Journal of Control 7 Wave Motion 7 Information Sciences 7 Meccanica ...and 269 more Serials