Edit Profile (opens in new tab) Abbaszadeh, Mostafa Compute Distance To: Compute Author ID: abbaszadeh.mostafa Published as: Abbaszadeh, Mostafa; Abbaszadeh, M. Documents Indexed: 86 Publications since 2013 Co-Authors: 21 Co-Authors with 85 Joint Publications 328 Co-Co-Authors all top 5 Co-Authors 1 single-authored 79 Dehghan Takht Fooladi, Mehdi 19 Mohebbi, Akbar 7 Khodadadian, Amirreza 6 Heitzinger, Clemens 3 Azis, Mohammad Ivan 3 Parvizi, Maryam 3 Wick, Thomas 2 Bayat, Mostafa 2 Ebrahimijahan, Ali 2 Hendy, Ahmed S. 2 Karamali, Gholamreza 2 Noii, Nima 2 Shafieeabyaneh, Nasim 2 Zaky, Mahmoud A. 1 Amjadian, Hanieh 1 Bakhtiari Nejad, Firooz 1 Deng, Weihua 1 Gharibi, Zeinab 1 Kamali, Ali 1 Loghman, Ehsan 1 Safarpoor, Mansour all top 5 Serials 18 Engineering Analysis with Boundary Elements 12 Computers & Mathematics with Applications 11 Applied Numerical Mathematics 6 Journal of Computational and Applied Mathematics 5 Computer Methods in Applied Mechanics and Engineering 4 Numerical Algorithms 3 Applicable Analysis 3 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Computational Mechanics 2 Applied Mathematics Letters 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 1 Wave Motion 1 Applied Mathematics and Computation 1 Mathematics and Computers in Simulation 1 Numerical Methods for Partial Differential Equations 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 Iranian Journal of Mathematical Chemistry 1 Journal of Function Spaces 1 Computational Methods for Differential Equations 1 Communications on Applied Mathematics and Computation all top 5 Fields 82 Numerical analysis (65-XX) 54 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 7 Real functions (26-XX) 5 Mechanics of deformable solids (74-XX) 4 Integral equations (45-XX) 3 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 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 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 1,338 times in 779 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 1352.65397Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 77 2013 Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. Zbl 1321.65129Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa 70 2015 A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term. Zbl 1287.65064Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 69 2013 The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions. Zbl 1369.65126Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 64 2014 An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations. Zbl 1403.65082Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 59 2015 An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Zbl 1412.65131Abbaszadeh, Mostafa; Dehghan, Mehdi 41 2017 Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 41 2016 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 1315.65086Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 40 2015 Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. Zbl 1305.65211Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 39 2015 A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term. Zbl 1350.65083Abbaszadeh, Mostafa; Mohebbi, Akbar 34 2013 The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations. Zbl 1403.74285Dehghan, Mehdi; Abbaszadeh, Mostafa 33 2017 Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua 33 2017 An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations. Zbl 1395.65074Dehghan, Mehdi; Abbaszadeh, Mostafa 32 2018 Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170Mohebbi, Akbar; Abbaszadeh, Mostafa 31 2013 Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. Zbl 1348.65141Dehghan, Mehdi; Abbaszadeh, Mostafa 31 2016 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 1286.76014Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 30 2013 Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261Dehghan, Mehdi; Abbaszadeh, Mostafa 25 2017 A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations. Zbl 1404.65207Abbaszadeh, Mostafa; Khodadadian, Amirreza; Parvizi, Maryam; Dehghan, Mehdi; Heitzinger, Clemens 25 2019 The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. Zbl 1380.65301Dehghan, Mehdi; Abbaszadeh, Mostafa 23 2017 Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 1459.65194Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 21 2016 A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Zbl 1415.65224Dehghan, Mehdi; Abbaszadeh, Mostafa 20 2018 High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 20 2014 Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods. Zbl 1403.65068Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 19 2016 Numerical solution of system of \(N\)-coupled nonlinear Schrödinger equations via two variants of the meshless local Petrov-Galerkin (MLPG) method. Zbl 1357.65187Dehghan, M.; Abbaszadeh, M.; Mohebbi, A. 19 2014 Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method. Zbl 1287.65089Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 19 2014 A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed-order fractional damped diffusion-wave equation. Zbl 1395.65098Dehghan, Mehdi; Abbaszadeh, Mostafa 19 2018 Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Zbl 1410.65351Abbaszadeh, Mostafa 19 2019 A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model. Zbl 1403.65084Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 18 2015 Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method. Zbl 1412.65070Dehghan, Mehdi; Abbaszadeh, Mostafa 17 2019 An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation. Zbl 1403.65109Dehghan, Mehdi; Abbaszadeh, Mostafa 16 2018 Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition. Zbl 1412.65138Dehghan, Mehdi; Abbaszadeh, Mostafa 16 2017 A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. Zbl 1409.76095Dehghan, Mehdi; Abbaszadeh, Mostafa 16 2018 The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models. Zbl 1403.65067Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 15 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 1425.65108Dehghan, Mehdi; Abbaszadeh, Mostafa 15 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 1403.78037Dehghan, Mehdi; Abbaszadeh, Mostafa 15 2018 Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. Zbl 1359.65199Dehghan, Mehdi; Abbaszadeh, Mostafa 15 2016 The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 1464.76052Abbaszadeh, Mostafa; Dehghan, Mehdi 15 2019 Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. Zbl 1444.76083Abbaszadeh, Mostafa; Dehghan, Mehdi 14 2020 Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. Zbl 1439.76060Dehghan, Mehdi; Abbaszadeh, Mostafa 14 2016 Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method. Zbl 1428.65073Abbaszadeh, Mostafa; Dehghan, Mehdi 14 2019 Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015Dehghan, Mehdi; Abbaszadeh, Mostafa 13 2018 The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 11 2015 The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation. Zbl 1357.65197Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 11 2014 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 1419.65015Dehghan, Mehdi; Abbaszadeh, Mostafa 11 2019 Variational multiscale element-free Galerkin method combined with the moving Kriging interpolation for solving some partial differential equations with discontinuous solutions. Zbl 1404.65084Dehghan, Mehdi; Abbaszadeh, Mostafa 10 2018 Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. Zbl 1435.65170Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong 9 2020 Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. Zbl 1443.65188Abbaszadeh, Mostafa; Dehghan, Mehdi 9 2020 The two-grid interpolating element free Galerkin (TG-IEFG) method for solving Rosenau-regularized long wave (RRLW) equation with error analysis. Zbl 1395.65133Abbaszadeh, Mostafa; Dehghan, Mehdi 8 2018 Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121Dehghan, Mehdi; Abbaszadeh, Mostafa 7 2017 Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. Zbl 1442.65288Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong 7 2019 Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. Zbl 1464.65081Abbaszadeh, Mostafa; Dehghan, Mehdi 7 2020 A reduced proper orthogonal decomposition (POD) element free Galerkin (POD-EFG) method to simulate two-dimensional solute transport problems and error estimate. Zbl 1380.65255Dehghan, Mehdi; Abbaszadeh, Mostafa 7 2018 Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow. Zbl 1433.65233Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens 6 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 1442.65287Abbaszadeh, Mostafa; Dehghan, Mehdi 6 2020 Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. Zbl 1446.65103Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens 6 2020 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 1443.65189Abbaszadeh, Mostafa; Dehghan, Mehdi 6 2015 A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation. Zbl 1465.76076Khodadadian, Amirreza; Parvizi, Maryam; Abbaszadeh, Mostafa; Dehghan, Mehdi; Heitzinger, Clemens 6 2019 A Bayesian estimation method for variational phase-field fracture problems. Zbl 1462.74139Khodadadian, Amirreza; Noii, Nima; Parvizi, Maryam; Abbaszadeh, Mostafa; Wick, Thomas; Heitzinger, Clemens 6 2020 Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 1464.74162Abbaszadeh, Mostafa; Dehghan, Mehdi 5 2020 Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains. Zbl 1442.65244Abbaszadeh, Mostafa; Dehghan, Mehdi 5 2019 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 1464.65139Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa 4 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 1452.65145Abbaszadeh, Mostafa; Dehghan, Mehdi 3 2020 Application of spectral element method for solving Sobolev equations with error estimation. Zbl 1452.65271Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa 3 2020 The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrödinger equation and Schrödinger-Boussinesq system. Zbl 1424.65201Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi 3 2018 Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174Abbaszadeh, Mostafa; Dehghan, Mehdi 3 2020 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 07391017Abbaszadeh, Mostafa; Dehghan, Mehdi; Azis, Mohammad Ivan 2 2021 The interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis. Zbl 1437.65121Abbaszadeh, Mostafa; Dehghan, Mehdi 2 2019 Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system. Zbl 07351763Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa 2 2021 Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation. Zbl 1474.65340Abbaszadeh, Mostafa; Dehghan, Mehdi 1 2021 Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation. Zbl 1476.65152Abbaszadeh, Mostafa; Amjadian, Hanieh 1 2020 Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings. Zbl 07431574Hendy, Ahmed S.; Zaky, Mahmoud A.; Abbaszadeh, Mostafa 1 2021 Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation. Zbl 07452496Abbaszadeh, Mostafa; Dehghan, Mehdi; Zaky, Mahmoud A.; Hendy, Ahmed S. 1 2021 A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation. Zbl 07379318Abbaszadeh, Mostafa; Dehghan, Mehdi 1 2021 Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam. Zbl 1481.74283Loghman, Ehsan; Kamali, Ali; Bakhtiari-Nejad, Firooz; Abbaszadeh, Mostafa 1 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 07263930Dehghan, Mehdi; Abbaszadeh, Mostafa 1 2019 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 07391017Abbaszadeh, Mostafa; Dehghan, Mehdi; Azis, Mohammad Ivan 2 2021 Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system. Zbl 07351763Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa 2 2021 Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation. Zbl 1474.65340Abbaszadeh, Mostafa; Dehghan, Mehdi 1 2021 Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings. Zbl 07431574Hendy, Ahmed S.; Zaky, Mahmoud A.; Abbaszadeh, Mostafa 1 2021 Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation. Zbl 07452496Abbaszadeh, Mostafa; Dehghan, Mehdi; Zaky, Mahmoud A.; Hendy, Ahmed S. 1 2021 A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation. Zbl 07379318Abbaszadeh, Mostafa; Dehghan, Mehdi 1 2021 Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam. Zbl 1481.74283Loghman, Ehsan; Kamali, Ali; Bakhtiari-Nejad, Firooz; Abbaszadeh, Mostafa 1 2021 Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. Zbl 1444.76083Abbaszadeh, Mostafa; Dehghan, Mehdi 14 2020 Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. Zbl 1435.65170Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong 9 2020 Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. Zbl 1443.65188Abbaszadeh, Mostafa; Dehghan, Mehdi 9 2020 Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. Zbl 1464.65081Abbaszadeh, Mostafa; Dehghan, Mehdi 7 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 1433.65233Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens 6 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 1442.65287Abbaszadeh, Mostafa; Dehghan, Mehdi 6 2020 Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. Zbl 1446.65103Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens 6 2020 A Bayesian estimation method for variational phase-field fracture problems. Zbl 1462.74139Khodadadian, Amirreza; Noii, Nima; Parvizi, Maryam; Abbaszadeh, Mostafa; Wick, Thomas; Heitzinger, Clemens 6 2020 Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 1464.74162Abbaszadeh, Mostafa; Dehghan, Mehdi 5 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 1464.65139Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa 4 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 1452.65145Abbaszadeh, Mostafa; Dehghan, Mehdi 3 2020 Application of spectral element method for solving Sobolev equations with error estimation. Zbl 1452.65271Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa 3 2020 Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174Abbaszadeh, Mostafa; Dehghan, Mehdi 3 2020 Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation. Zbl 1476.65152Abbaszadeh, Mostafa; Amjadian, Hanieh 1 2020 A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations. Zbl 1404.65207Abbaszadeh, Mostafa; Khodadadian, Amirreza; Parvizi, Maryam; Dehghan, Mehdi; Heitzinger, Clemens 25 2019 Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Zbl 1410.65351Abbaszadeh, Mostafa 19 2019 Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method. Zbl 1412.65070Dehghan, Mehdi; Abbaszadeh, Mostafa 17 2019 The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 1464.76052Abbaszadeh, Mostafa; Dehghan, Mehdi 15 2019 Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method. Zbl 1428.65073Abbaszadeh, Mostafa; Dehghan, Mehdi 14 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 1419.65015Dehghan, Mehdi; Abbaszadeh, Mostafa 11 2019 Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. Zbl 1442.65288Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong 7 2019 A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation. Zbl 1465.76076Khodadadian, Amirreza; Parvizi, Maryam; Abbaszadeh, Mostafa; Dehghan, Mehdi; Heitzinger, Clemens 6 2019 Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains. Zbl 1442.65244Abbaszadeh, Mostafa; Dehghan, Mehdi 5 2019 The interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis. Zbl 1437.65121Abbaszadeh, Mostafa; Dehghan, Mehdi 2 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 07263930Dehghan, Mehdi; Abbaszadeh, Mostafa 1 2019 An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations. Zbl 1395.65074Dehghan, Mehdi; Abbaszadeh, Mostafa 32 2018 A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Zbl 1415.65224Dehghan, Mehdi; Abbaszadeh, Mostafa 20 2018 A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed-order fractional damped diffusion-wave equation. Zbl 1395.65098Dehghan, Mehdi; Abbaszadeh, Mostafa 19 2018 An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation. Zbl 1403.65109Dehghan, Mehdi; Abbaszadeh, Mostafa 16 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 1409.76095Dehghan, Mehdi; Abbaszadeh, Mostafa 16 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 1403.78037Dehghan, Mehdi; Abbaszadeh, Mostafa 15 2018 Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015Dehghan, Mehdi; Abbaszadeh, Mostafa 13 2018 Variational multiscale element-free Galerkin method combined with the moving Kriging interpolation for solving some partial differential equations with discontinuous solutions. Zbl 1404.65084Dehghan, Mehdi; Abbaszadeh, Mostafa 10 2018 The two-grid interpolating element free Galerkin (TG-IEFG) method for solving Rosenau-regularized long wave (RRLW) equation with error analysis. Zbl 1395.65133Abbaszadeh, Mostafa; Dehghan, Mehdi 8 2018 A reduced proper orthogonal decomposition (POD) element free Galerkin (POD-EFG) method to simulate two-dimensional solute transport problems and error estimate. Zbl 1380.65255Dehghan, Mehdi; Abbaszadeh, Mostafa 7 2018 The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrödinger equation and Schrödinger-Boussinesq system. Zbl 1424.65201Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi 3 2018 An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Zbl 1412.65131Abbaszadeh, Mostafa; Dehghan, Mehdi 41 2017 The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations. Zbl 1403.74285Dehghan, Mehdi; Abbaszadeh, Mostafa 33 2017 Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua 33 2017 Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261Dehghan, Mehdi; Abbaszadeh, Mostafa 25 2017 The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. Zbl 1380.65301Dehghan, Mehdi; Abbaszadeh, Mostafa 23 2017 Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition. Zbl 1412.65138Dehghan, Mehdi; Abbaszadeh, Mostafa 16 2017 Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121Dehghan, Mehdi; Abbaszadeh, Mostafa 7 2017 Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 41 2016 Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. Zbl 1348.65141Dehghan, Mehdi; Abbaszadeh, Mostafa 31 2016 Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 1459.65194Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 21 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 1403.65068Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 19 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 1403.65067Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 15 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 1425.65108Dehghan, Mehdi; Abbaszadeh, Mostafa 15 2016 Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. Zbl 1359.65199Dehghan, Mehdi; Abbaszadeh, Mostafa 15 2016 Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. Zbl 1439.76060Dehghan, Mehdi; Abbaszadeh, Mostafa 14 2016 Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. Zbl 1321.65129Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa 70 2015 An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations. Zbl 1403.65082Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 59 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 1315.65086Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 40 2015 Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. Zbl 1305.65211Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 39 2015 A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model. Zbl 1403.65084Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 18 2015 The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 11 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 1443.65189Abbaszadeh, Mostafa; Dehghan, Mehdi 6 2015 The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions. Zbl 1369.65126Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 64 2014 High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 20 2014 Numerical solution of system of \(N\)-coupled nonlinear Schrödinger equations via two variants of the meshless local Petrov-Galerkin (MLPG) method. Zbl 1357.65187Dehghan, M.; Abbaszadeh, M.; Mohebbi, A. 19 2014 Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method. Zbl 1287.65089Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 19 2014 The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation. Zbl 1357.65197Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 11 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 1352.65397Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 77 2013 A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term. Zbl 1287.65064Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 69 2013 A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term. Zbl 1350.65083Abbaszadeh, Mostafa; Mohebbi, Akbar 34 2013 Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170Mohebbi, Akbar; Abbaszadeh, Mostafa 31 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 1286.76014Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 30 2013 all cited Publications top 5 cited Publications all top 5 Cited by 1,082 Authors 92 Dehghan Takht Fooladi, Mehdi 54 Abbaszadeh, Mostafa 19 Liu, Fawang 18 Zaky, Mahmoud A. 17 Mohebbi, Akbar 15 Avazzadeh, Zakieh 14 Li, Xiaolin 13 Nikan, Omid 13 Shivanian, Elyas 11 Vong, Seakweng 11 Wang, Yuanming 10 Bhrawy, Ali Hassan 10 Wang, Zhibo 9 Khodadadian, Amirreza 9 Li, Hong 9 Mohammadi, Vahid 8 Hendy, Ahmed S. 8 Heydari, Mohammad Hossien 8 Huang, Chengming 8 Jafarabadi, Ahmad 8 Liu, Yang 8 Lu, Shujuan 8 Machado, José António Tenreiro 8 Oruç, Ömer 8 Sun, Zhizhong 8 Tang, Yifa 8 Turner, Ian William 8 Yin, Baoli 7 Abbasbandy, Saeid 7 Anh, Vo V. 7 Băleanu, Dumitru I. 7 Ghehsareh, Hadi Roohani 7 Mei, Liquan 6 Doha, Eid H. 6 Gharibi, Zeinab 6 Golbabai, Ahmad 6 Jiang, Xiaoyun 6 Parvizi, Maryam 6 Saadatmandi, Abbas 6 Sayevand, Khosro 6 Taleei, Ameneh 6 Zhao, Yanmin 5 Abdelkawy, Mohamed A. 5 Eslahchi, Mohammad Reza 5 Feng, Libo 5 Fu, Zhuojia 5 Gu, Xian-Ming 5 Heitzinger, Clemens 5 Khan, Rahmat Ali 5 Kumar, Alpesh 5 Li, Changpin 5 Li, Dongfang 5 Lyu, Pin 5 Macías-Díaz, Jorge Eduardo 5 Ordokhani, Yadollah 5 Pandey, Rajesh Kumar 5 Safarpoor, Mansour 5 Shirzadi, Mohammad 5 Singh, Vineet Kumar 5 Sun, Hongguang 5 Wang, Fenling 4 Álvarez Hostos, Juan C. 4 Bazhlekova, Emilia G. 4 Bhardwaj, Akanksha 4 Chen, Hu 4 Ding, Hengfei 4 Ding, Xiaohua 4 Esen, Alaattin 4 Fachinotti, Victor D. 4 Gao, Guanghua 4 Haq, Sirajul 4 He, Dongdong 4 Hosseininia, Masoumeh 4 Huang, Ting-Zhu 4 Ilati, Mohammad 4 Jiwari, Ram 4 Khalil, Hammad 4 Kim, Junseok 4 Li, Mingzhu 4 Liu, Haiyu 4 Maalek Ghaini, F. M. 4 Nie, Yufeng 4 Omrani, Khaled 4 Qiu, Wenlin 4 Razzaghi, Mohsen 4 Ren, Lei 4 Rouatbi, Asma 4 Shah, Kamal 4 Siraj-ul-Islam 4 Sun, Fengxin 4 Wang, Jufeng 4 Wang, Pengde 4 Wick, Thomas 4 Wong, Patricia J. Y. 4 Xu, Da 4 Zaghian, Ali 4 Zhang, Chuanzeng 3 Ali, Norhashidah Hj. Mohd. 3 Assari, Pouria 3 Bu, Weiping ...and 982 more Authors all top 5 Cited in 111 Serials 97 Engineering Analysis with Boundary Elements 66 Computers & Mathematics with Applications 57 Applied Mathematics and Computation 52 Applied Numerical Mathematics 37 Computational and Applied Mathematics 33 Journal of Computational and Applied Mathematics 32 International Journal of Computer Mathematics 29 Numerical Algorithms 24 Advances in Difference Equations 23 Journal of Computational Physics 20 Journal of Scientific Computing 17 Applied Mathematical Modelling 15 Communications in Nonlinear Science and Numerical Simulation 13 Mathematics and Computers in Simulation 13 Applied Mathematics Letters 12 Computer Methods in Applied Mechanics and Engineering 10 Chaos, Solitons and Fractals 10 International Journal of Computational Methods 10 Inverse Problems in Science and Engineering 10 International Journal of Applied and Computational Mathematics 9 Mathematical Methods in the Applied Sciences 9 Fractional Calculus & Applied Analysis 7 Numerical Methods for Partial Differential Equations 7 Nonlinear Dynamics 7 Journal of Function Spaces 6 Applicable Analysis 6 Journal of Applied Mathematics and Computing 6 Communications on Applied Mathematics and Computation 5 Computational Mechanics 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Advances in Mathematical Physics 5 Advances in Applied Mathematics and Mechanics 5 Computational Methods for Differential Equations 4 Wave Motion 4 East Asian Journal on Applied Mathematics 4 Journal of Mathematical Modeling 3 Computers and Fluids 3 Journal of Mathematical Analysis and Applications 3 Advances in Computational Mathematics 3 Mathematical Problems in Engineering 3 Abstract and Applied Analysis 3 European Journal of Mechanics. A. Solids 3 Open Mathematics 3 AIMS Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Difference Equations and Applications 2 Discrete Dynamics in Nature and Society 2 Nonlinear Analysis. Real World Applications 2 Mathematical Modelling and Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Acta Mechanica Sinica 2 Applications and Applied Mathematics 2 Tbilisi Mathematical Journal 2 Journal of Mathematical Extension 2 Journal of Applied Analysis and Computation 2 Mathematical Sciences 1 Acta Mechanica 1 Computer Physics Communications 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 Physica A 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 BIT 1 Calcolo 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Applications of Mathematics 1 SIAM Journal on Scientific Computing 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Georgian Mathematical Journal 1 ETNA. Electronic Transactions on Numerical Analysis 1 Complexity 1 Journal of Vibration and Control 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 LMS Journal of Computation and Mathematics 1 Annales Mathematicae Silesianae 1 Computational Methods in Applied Mathematics 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Hacettepe Journal of Mathematics and Statistics 1 Thai Journal of Mathematics 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 European Journal of Pure and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Geosciences 1 International Journal of Differential Equations ...and 11 more Serials all top 5 Cited in 38 Fields 692 Numerical analysis (65-XX) 488 Partial differential equations (35-XX) 106 Fluid mechanics (76-XX) 104 Real functions (26-XX) 57 Mechanics of deformable solids (74-XX) 49 Ordinary differential equations (34-XX) 32 Integral equations (45-XX) 30 Biology and other natural sciences (92-XX) 25 Statistical mechanics, structure of matter (82-XX) 23 Special functions (33-XX) 19 Probability theory and stochastic processes (60-XX) 15 Approximations and expansions (41-XX) 14 Optics, electromagnetic theory (78-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Classical thermodynamics, heat transfer (80-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 6 Difference and functional equations (39-XX) 6 Geophysics (86-XX) 5 Computer science (68-XX) 4 Integral transforms, operational calculus (44-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year