Edit Profile (opens in new tab) Abbaszadeh, Mostafa Co-Author Distance Author ID: abbaszadeh.mostafa Published as: Abbaszadeh, Mostafa; Abbaszadeh, M. Documents Indexed: 99 Publications since 2013 Co-Authors: 28 Co-Authors with 98 Joint Publications 644 Co-Co-Authors all top 5 Co-Authors 1 single-authored 91 Dehghan Takht Fooladi, Mehdi 19 Mohebbi, Akbar 8 Khodadadian, Amirreza 7 Heitzinger, Clemens 5 Ebrahimijahan, Ali 4 Azis, Mohammad Ivan 3 Bayat, Mostafa 3 Hendy, Ahmed S. 3 Parvizi, Maryam 3 Shafieeabyaneh, Nasim 3 Wick, Thomas 3 Zaky, Mahmoud A. 2 Gharibi, Zeinab 2 Karamali, Gholamreza 2 Mohammadi-Arani, Reza 2 Noii, Nima 2 Zhou, Yong 1 Abd, Al-Khafaji Shurooq Kamel 1 Amjadian, Hanieh 1 Bagheri, Salec Alireza 1 Bakhtiari Nejad, Firooz 1 Deng, Weihua 1 Donatelli, Marco 1 Hooshyarfarzin, Baharak 1 Kalhor, Yasmin 1 Kamali, Ali 1 Loghman, Ehsan 1 Safarpoor, Mansour all top 5 Serials 22 Engineering Analysis with Boundary Elements 13 Computers & Mathematics with Applications 12 Applied Numerical Mathematics 7 Journal of Computational and Applied Mathematics 5 Computer Methods in Applied Mechanics and Engineering 4 Numerical Methods for Partial Differential Equations 4 Numerical Algorithms 3 Applicable Analysis 3 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 Computational Mechanics 2 Applied Mathematics Letters 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Iranian Journal of Mathematical Chemistry 1 Wave Motion 1 Mathematics and Computers in Simulation 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Nonlinear Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 CMES. Computer Modeling in Engineering & Sciences 1 Inverse Problems in Science and Engineering 1 Journal of Function Spaces 1 Computational Methods for Differential Equations 1 Communications on Applied Mathematics and Computation all top 5 Fields 94 Numerical analysis (65-XX) 64 Partial differential equations (35-XX) 20 Fluid mechanics (76-XX) 8 Real functions (26-XX) 6 Mechanics of deformable solids (74-XX) 4 Integral equations (45-XX) 4 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 3 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 2,092 times in 1,171 Documents Cited by ▼ Year ▼ 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 103 2013 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 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 88 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 82 2013 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 77 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 60 2015 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 58 2017 Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298 Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 49 2016 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 49 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 49 2017 Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 1459.65194 Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 42 2016 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 42 2018 Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173 Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua 41 2017 Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. Zbl 1439.76060 Dehghan, Mehdi; Abbaszadeh, Mostafa 41 2016 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 Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. Zbl 1348.65141 Dehghan, Mehdi; Abbaszadeh, Mostafa 39 2016 A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term. Zbl 1350.65083 Abbaszadeh, Mostafa; Mohebbi, Akbar 38 2013 The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. Zbl 1380.65301 Dehghan, Mehdi; Abbaszadeh, Mostafa 37 2017 Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170 Mohebbi, Akbar; Abbaszadeh, Mostafa 36 2013 Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. Zbl 1286.76014 Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 35 2013 Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261 Dehghan, Mehdi; Abbaszadeh, Mostafa 33 2017 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 Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Zbl 1410.65351 Abbaszadeh, Mostafa 31 2019 High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060 Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 28 2014 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 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 Dehghan, Mehdi; Abbaszadeh, Mostafa 27 2016 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 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 25 2016 Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method. Zbl 1287.65089 Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 25 2014 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 Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015 Dehghan, Mehdi; Abbaszadeh, Mostafa 24 2018 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 23 2015 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 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 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 Dehghan, Mehdi; Abbaszadeh, Mostafa 22 2017 Numerical solution of system of \(N\)-coupled nonlinear Schrödinger equations via two variants of the meshless local Petrov-Galerkin (MLPG) method. Zbl 1357.65187 Dehghan, M.; Abbaszadeh, M.; Mohebbi, A. 21 2014 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 21 2020 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 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 Abbaszadeh, Mostafa; Dehghan, Mehdi 20 2015 The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 1464.76052 Abbaszadeh, Mostafa; Dehghan, Mehdi 20 2019 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 19 2016 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 Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. Zbl 1359.65199 Dehghan, Mehdi; Abbaszadeh, Mostafa 18 2016 The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation. Zbl 1357.65197 Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 18 2014 The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083 Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 16 2015 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 16 2019 The two-grid interpolating element free Galerkin (TG-IEFG) method for solving Rosenau-regularized long wave (RRLW) equation with error analysis. Zbl 1395.65133 Abbaszadeh, Mostafa; Dehghan, Mehdi 16 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 Dehghan, Mehdi; Abbaszadeh, Mostafa 15 2018 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 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 A Bayesian estimation method for variational phase-field fracture problems. Zbl 1462.74139 Khodadadian, Amirreza; Noii, Nima; Parvizi, Maryam; Abbaszadeh, Mostafa; Wick, Thomas; Heitzinger, Clemens 14 2020 Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174 Abbaszadeh, Mostafa; Dehghan, Mehdi 14 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 14 2020 Variational multiscale element-free Galerkin method combined with the moving Kriging interpolation for solving some partial differential equations with discontinuous solutions. Zbl 1404.65084 Dehghan, Mehdi; Abbaszadeh, Mostafa 14 2018 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 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 12 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 Application of spectral element method for solving Sobolev equations with error estimation. Zbl 1452.65271 Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa 10 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 Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121 Dehghan, Mehdi; Abbaszadeh, Mostafa 9 2017 Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation. Zbl 1476.65152 Abbaszadeh, Mostafa; Amjadian, Hanieh 8 2020 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 8 2021 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 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 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 7 2019 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 Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam. Zbl 1481.74283 Loghman, Ehsan; Kamali, Ali; Bakhtiari-Nejad, Firooz; Abbaszadeh, Mostafa 7 2021 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 6 2018 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 6 2021 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 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 Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings. Zbl 07431574 Hendy, Ahmed S.; Zaky, Mahmoud A.; Abbaszadeh, Mostafa 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 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. 3 2021 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 3 2022 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 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 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 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 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 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 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 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 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 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 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 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 3 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 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 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 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 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 8 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 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 Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam. Zbl 1481.74283 Loghman, Ehsan; Kamali, Ali; Bakhtiari-Nejad, Firooz; Abbaszadeh, Mostafa 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 6 2021 Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings. Zbl 07431574 Hendy, Ahmed S.; Zaky, Mahmoud A.; Abbaszadeh, Mostafa 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 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. 3 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 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 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 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 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 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 21 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 A Bayesian estimation method for variational phase-field fracture problems. Zbl 1462.74139 Khodadadian, Amirreza; Noii, Nima; Parvizi, Maryam; Abbaszadeh, Mostafa; Wick, Thomas; Heitzinger, Clemens 14 2020 Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174 Abbaszadeh, Mostafa; Dehghan, Mehdi 14 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 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 Application of spectral element method for solving Sobolev equations with error estimation. Zbl 1452.65271 Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa 10 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 Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation. Zbl 1476.65152 Abbaszadeh, Mostafa; Amjadian, Hanieh 8 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 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 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 Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Zbl 1410.65351 Abbaszadeh, Mostafa 31 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 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 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 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 12 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 7 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 42 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 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 Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015 Dehghan, Mehdi; Abbaszadeh, Mostafa 24 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 Abbaszadeh, Mostafa; Dehghan, Mehdi 16 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 Dehghan, Mehdi; Abbaszadeh, Mostafa 15 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 Dehghan, Mehdi; Abbaszadeh, Mostafa 14 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 6 2018 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 58 2017 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 49 2017 Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173 Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua 41 2017 The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. Zbl 1380.65301 Dehghan, Mehdi; Abbaszadeh, Mostafa 37 2017 Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261 Dehghan, Mehdi; Abbaszadeh, Mostafa 33 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 Dehghan, Mehdi; Abbaszadeh, Mostafa 22 2017 Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121 Dehghan, Mehdi; Abbaszadeh, Mostafa 9 2017 Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298 Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 49 2016 Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 1459.65194 Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 42 2016 Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. Zbl 1439.76060 Dehghan, Mehdi; Abbaszadeh, Mostafa 41 2016 Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. Zbl 1348.65141 Dehghan, Mehdi; Abbaszadeh, Mostafa 39 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 Dehghan, Mehdi; Abbaszadeh, Mostafa 27 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 25 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 19 2016 Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. Zbl 1359.65199 Dehghan, Mehdi; Abbaszadeh, Mostafa 18 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 91 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 77 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 60 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 49 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 23 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 Abbaszadeh, Mostafa; Dehghan, Mehdi 20 2015 The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083 Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 16 2015 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 88 2014 High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060 Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 28 2014 Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method. Zbl 1287.65089 Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 25 2014 Numerical solution of system of \(N\)-coupled nonlinear Schrödinger equations via two variants of the meshless local Petrov-Galerkin (MLPG) method. Zbl 1357.65187 Dehghan, M.; Abbaszadeh, M.; Mohebbi, A. 21 2014 The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation. Zbl 1357.65197 Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 18 2014 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 103 2013 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 A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term. Zbl 1350.65083 Abbaszadeh, Mostafa; Mohebbi, Akbar 38 2013 Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170 Mohebbi, Akbar; Abbaszadeh, Mostafa 36 2013 Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. Zbl 1286.76014 Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 35 2013 all cited Publications top 5 cited Publications all top 5 Cited by 1,630 Authors 122 Dehghan Takht Fooladi, Mehdi 70 Abbaszadeh, Mostafa 30 Zaky, Mahmoud A. 26 Avazzadeh, Zakieh 24 Liu, Fawang 23 Nikan, Omid 20 Li, Hong 20 Mohebbi, Akbar 19 Liu, Yang 18 Heydari, Mohammad Hossein 18 Li, Xiaolin 17 Hendy, Ahmed S. 17 Oruç, Ömer 16 Shivanian, Elyas 12 Khodadadian, Amirreza 12 Wang, Yuanming 12 Yin, Baoli 11 Bhrawy, Ali Hassan 11 Doha, Eid H. 11 Machado, José António Tenreiro 11 Mohammadi, Vahid 11 Pandey, Rajesh Kumar 11 Turner, Ian William 11 Vong, Seakweng 10 Abbasbandy, Saeid 10 Tang, Yifa 10 Wang, Zhibo 10 Xu, Da 9 Abdelkawy, Mohamed A. 9 Gharibi, Zeinab 9 Huang, Chengming 9 Jiwari, Ram 9 Qiu, Wenlin 9 Razzaghi, Mohsen 9 Singh, Vineet Kumar 9 Sun, Zhizhong 8 Anh, Vo V. 8 Jafarabadi, Ahmad 8 Lu, Shujuan 8 Mei, Liquan 8 Omrani, Khaled 8 Sayevand, Khosro 7 Băleanu, Dumitru I. 7 Feng, Libo 7 Ghehsareh, Hadi Roohani 7 Golbabai, Ahmad 7 Heitzinger, Clemens 7 Hosseininia, Masoumeh 7 Li, Dongfang 7 Nie, Yufeng 7 Noii, Nima 7 Saadatmandi, Abbas 7 Wang, Jinfeng 7 Wick, Thomas 6 Chen, Wen 6 Ebrahimijahan, Ali 6 Esen, Alaattin 6 Eslahchi, Mohammad Reza 6 Gu, Xian-Ming 6 Hamid, Muhammad 6 Huang, Jianfei 6 Ilati, Mohammad 6 Jiang, Xiaoyun 6 Kumar, Alpesh 6 Li, Meng 6 Ordokhani, Yadollah 6 Parvizi, Maryam 6 Rashidinia, Jalil 6 Rouatbi, Asma 6 Safarpoor, Mansour 6 Shirzadi, Mohammad 6 Siraj-ul-Islam 6 Sun, Fengxin 6 Sun, Haiwei 6 Sun, Hongguang 6 Taleei, Ameneh 6 Usman, Muhammad 6 Wang, Jufeng 6 Wang, Xiaofeng 6 Zhao, Yanmin 5 Adibi, Hojatollah 5 Álvarez Hostos, Juan C. 5 Aminikhah, Hossein 5 Assari, Pouria 5 Bhardwaj, Akanksha 5 Ding, Hengfei 5 Fardi, Mojtaba 5 Fu, Zhuojia 5 Hafez, Ramy Mahmoud 5 Hesameddini, Esmail 5 Huang, Ting-Zhu 5 Khalil, Hammad 5 Khan, Rahmat Ali 5 Kim, Junseok 5 Kumar, Kamlesh 5 Li, Changpin 5 Li, Shuling 5 Lyu, Pin 5 Macías-Díaz, Jorge Eduardo 5 Parand, Kourosh ...and 1,530 more Authors all top 5 Cited in 143 Serials 124 Engineering Analysis with Boundary Elements 94 Computers & Mathematics with Applications 73 Applied Numerical Mathematics 63 Applied Mathematics and Computation 52 Numerical Methods for Partial Differential Equations 51 Computational and Applied Mathematics 48 International Journal of Computer Mathematics 44 Journal of Computational and Applied Mathematics 39 Numerical Algorithms 35 Mathematical Methods in the Applied Sciences 33 Journal of Computational Physics 31 Communications in Nonlinear Science and Numerical Simulation 31 Advances in Difference Equations 26 Mathematics and Computers in Simulation 25 Journal of Scientific Computing 24 Applied Mathematical Modelling 22 Computer Methods in Applied Mechanics and Engineering 19 International Journal of Applied and Computational Mathematics 17 Applied Mathematics Letters 13 International Journal of Computational Methods 13 Inverse Problems in Science and Engineering 12 Chaos, Solitons and Fractals 11 Fractional Calculus & Applied Analysis 11 Journal of Applied Mathematics and Computing 10 Nonlinear Dynamics 10 Journal of Function Spaces 10 Computational Methods for Differential Equations 8 International Journal of Nonlinear Sciences and Numerical Simulation 7 Advances in Applied Mathematics and Mechanics 6 Applicable Analysis 6 Advances in Mathematical Physics 6 Communications on Applied Mathematics and Computation 5 Physica A 5 Wave Motion 5 Computational Mechanics 5 Mathematical Problems in Engineering 5 Boundary Value Problems 4 Computers and Fluids 4 ZAMM. 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Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Mediterranean Journal of Mathematics 2 Waves in Random and Complex Media 2 Acta Mechanica Sinica 2 Applications and Applied Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Tbilisi Mathematical Journal 2 Communications in Theoretical Physics 2 Journal of Applied Analysis and Computation 2 Iranian Journal of Numerical Analysis and Optimization 2 Results in Applied Mathematics 2 Advances in Continuous and Discrete Models 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 BIT 1 International Journal of Mathematics and Mathematical Sciences 1 Numerische Mathematik 1 Quaestiones Mathematicae 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Journal of Integral Equations and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Journal of Global Optimization 1 Computational Mathematics and Mathematical Physics 1 Journal of Statistical Computation and Simulation 1 SIAM Journal on Scientific Computing 1 International Journal of Numerical Methods for Heat & Fluid Flow ...and 43 more Serials all top 5 Cited in 38 Fields 1,045 Numerical analysis (65-XX) 750 Partial differential equations (35-XX) 183 Real functions (26-XX) 146 Fluid mechanics (76-XX) 93 Mechanics of deformable solids (74-XX) 74 Ordinary differential equations (34-XX) 47 Integral equations (45-XX) 44 Biology and other natural sciences (92-XX) 34 Statistical mechanics, structure of matter (82-XX) 32 Special functions (33-XX) 31 Optics, electromagnetic theory (78-XX) 27 Approximations and expansions (41-XX) 24 Probability theory and stochastic processes (60-XX) 22 Classical thermodynamics, heat transfer (80-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Operator theory (47-XX) 9 Integral transforms, operational calculus (44-XX) 9 Geophysics (86-XX) 9 Systems theory; control (93-XX) 8 Difference and functional equations (39-XX) 8 Quantum theory (81-XX) 6 Computer science (68-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Statistics (62-XX) 5 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 3 Potential theory (31-XX) 3 Operations research, mathematical programming (90-XX) 3 Mathematics education (97-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year