Edit Profile Abbaszadeh, Mostafa Compute Distance To: Compute Author ID: abbaszadeh.mostafa Published as: Abbaszadeh, M.; Abbaszadeh, Mostafa Documents Indexed: 70 Publications since 2013 all top 5 Co-Authors 1 single-authored 65 Dehghan Takht Fooladi, Mehdi 19 Mohebbi, Akbar 5 Heitzinger, Clemens 5 Khodadadian, Amirreza 3 Parvizi, Maryam 2 Zhou, Yong 1 Azis, Mohammad Ivan 1 Bayat, Mostafa 1 Deng, Weihua 1 Ebrahimijahan, Ali 1 Karamali, Gholamreza 1 Noii, Nima 1 Safarpoor, Mansour 1 Shafieeabyaneh, Nasim 1 Wick, Thomas all top 5 Serials 16 Engineering Analysis with Boundary Elements 11 Computers & Mathematics with Applications 10 Applied Numerical Mathematics 6 Journal of Computational and Applied Mathematics 5 Computer Methods in Applied Mechanics and Engineering 3 Numerical Algorithms 2 Applicable Analysis 2 Journal of Computational Physics 2 Computational Mechanics 2 Applied Mathematics Letters 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematical Modelling 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 Computational Methods for Differential Equations all top 5 Fields 68 Numerical analysis (65-XX) 45 Partial differential equations (35-XX) 10 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 4 Mechanics of deformable solids (74-XX) 3 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 64 Publications have been cited 977 times in 566 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 63 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 63 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 55 2014 Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. Zbl 1321.65129Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa 53 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 49 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 37 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 36 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 29 2013 Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 27 2016 Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. Zbl 1348.65141Dehghan, Mehdi; Abbaszadeh, Mostafa 27 2016 An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Zbl 1412.65131Abbaszadeh, Mostafa; Dehghan, Mehdi 26 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 24 2018 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 24 2013 Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170Mohebbi, Akbar; Abbaszadeh, Mostafa 23 2013 Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua 21 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 20 2017 Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261Dehghan, Mehdi; Abbaszadeh, Mostafa 20 2017 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 The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. Zbl 1380.65301Dehghan, Mehdi; Abbaszadeh, Mostafa 17 2017 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 17 2014 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 16 2015 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 15 2016 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 14 2019 A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed-order fractional damped diffusion-wave equation. Zbl 1395.65098Dehghan, Mehdi; Abbaszadeh, Mostafa 14 2018 High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 14 2014 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 13 2017 Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Zbl 1410.65351Abbaszadeh, Mostafa 12 2019 A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Zbl 1415.65224Dehghan, Mehdi; Abbaszadeh, Mostafa 12 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 1425.65108Dehghan, Mehdi; Abbaszadeh, Mostafa 12 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 12 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 12 2016 Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method. Zbl 1412.65070Dehghan, Mehdi; Abbaszadeh, Mostafa 11 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 10 2020 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 10 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 10 2018 Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 07159582Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 10 2016 The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 10 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 10 2014 The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 07110343Abbaszadeh, Mostafa; Dehghan, Mehdi 9 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 8 2019 Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. Zbl 1439.76060Dehghan, Mehdi; Abbaszadeh, Mostafa 8 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 7 2019 Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015Dehghan, Mehdi; Abbaszadeh, Mostafa 7 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 7 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 7 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 6 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 6 2018 Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121Dehghan, Mehdi; Abbaszadeh, Mostafa 6 2017 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 5 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 4 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 4 2020 A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook Equation. Zbl 07119146Khodadadian, Amirreza; Parvizi, Maryam; Abbaszadeh, Mostafa; Dehghan, Mehdi; Heitzinger, Clemens 4 2019 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 3 2020 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 3 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 1443.65189Abbaszadeh, Mostafa; Dehghan, Mehdi 3 2015 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 07268631Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa 2 2020 Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 07228814Abbaszadeh, Mostafa; Dehghan, Mehdi 2 2020 Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174Abbaszadeh, Mostafa; Dehghan, Mehdi 2 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 2 2019 Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. Zbl 07268591Abbaszadeh, Mostafa; Dehghan, Mehdi 1 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 1 2020 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 Nonlinear optimal control for wind power generators comprising a multi-mass drivetrain and a DFIG. Zbl 1411.93129Rigatos, G.; Siano, P.; Abbaszadeh, M.; Wira, Patrice 1 2019 The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrödinger equation and Schrödinger-Boussinesq system. Zbl 1424.65201Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi 1 2018 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 10 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 5 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 4 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 4 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 3 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 07268631Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa 2 2020 Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 07228814Abbaszadeh, Mostafa; Dehghan, Mehdi 2 2020 Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174Abbaszadeh, Mostafa; Dehghan, Mehdi 2 2020 Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. Zbl 07268591Abbaszadeh, Mostafa; Dehghan, Mehdi 1 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 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 14 2019 Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Zbl 1410.65351Abbaszadeh, Mostafa 12 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 11 2019 The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 07110343Abbaszadeh, Mostafa; Dehghan, Mehdi 9 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 8 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 7 2019 A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook Equation. Zbl 07119146Khodadadian, Amirreza; Parvizi, Maryam; Abbaszadeh, Mostafa; Dehghan, Mehdi; Heitzinger, Clemens 4 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 3 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 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 Nonlinear optimal control for wind power generators comprising a multi-mass drivetrain and a DFIG. Zbl 1411.93129Rigatos, G.; Siano, P.; Abbaszadeh, M.; Wira, Patrice 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 24 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 14 2018 A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Zbl 1415.65224Dehghan, Mehdi; Abbaszadeh, Mostafa 12 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 10 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 10 2018 Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015Dehghan, Mehdi; Abbaszadeh, Mostafa 7 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 7 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 7 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 6 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 6 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 1 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 26 2017 Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua 21 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 20 2017 Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261Dehghan, Mehdi; Abbaszadeh, Mostafa 20 2017 The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. Zbl 1380.65301Dehghan, Mehdi; Abbaszadeh, Mostafa 17 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 13 2017 Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121Dehghan, Mehdi; Abbaszadeh, Mostafa 6 2017 Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 27 2016 Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. Zbl 1348.65141Dehghan, 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 1403.65068Dehghan, 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 12 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 12 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 12 2016 Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 07159582Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 10 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 8 2016 Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. Zbl 1321.65129Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa 53 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 49 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 37 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 36 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 16 2015 The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 10 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 3 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 55 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 17 2014 High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 14 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 10 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 63 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 63 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 29 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 24 2013 Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170Mohebbi, Akbar; Abbaszadeh, Mostafa 23 2013 all cited Publications top 5 cited Publications all top 5 Cited by 892 Authors 77 Dehghan Takht Fooladi, Mehdi 45 Abbaszadeh, Mostafa 15 Liu, Fawang 14 Mohebbi, Akbar 14 Zaky, Mahmoud A. 12 Li, Xiaolin 12 Shivanian, Elyas 11 Vong, Seakweng 10 Bhrawy, Ali Hassan 10 Wang, Yuanming 10 Wang, Zhibo 9 Mohammadi, Vahid 8 Tang, Yifa 7 Abbasbandy, Saeid 7 Avazzadeh, Zakieh 7 Jafarabadi, Ahmad 7 Sun, Zhizhong 6 Doha, Eid H. 6 Ghehsareh, Hadi Roohani 6 Heydari, Mohammad Hossien 6 Huang, Chengming 6 Khodadadian, Amirreza 6 Lu, Shujuan 6 Machado, José António Tenreiro 6 Parvizi, Maryam 6 Turner, Ian William 5 Abdelkawy, Mohamed A. 5 Anh, Vo V. 5 Eslahchi, Mohammad Reza 5 Golbabai, Ahmad 5 Gu, Xian-Ming 5 Heitzinger, Clemens 5 Jiang, Xiaoyun 5 Khan, Rahmat Ali 5 Kumar, Alpesh 5 Lyu, Pin 5 Nikan, Omid 5 Oruç, Ömer 5 Shirzadi, Mohammad 5 Wang, Fenling 5 Zhao, Yanmin 4 Băleanu, Dumitru I. 4 Bazhlekova, Emilia G. 4 Bhardwaj, Akanksha 4 Ding, Hengfei 4 Esen, Alaattin 4 Feng, Libo 4 Gao, Guanghua 4 He, Dongdong 4 Ilati, Mohammad 4 Khalil, Hammad 4 Li, Changpin 4 Li, Hong 4 Maalek Ghaini, F. M. 4 Mei, Liquan 4 Pandey, Rajesh Kumar 4 Saadatmandi, Abbas 4 Safarpoor, Mansour 4 Shah, Kamal 4 Sun, Fengxin 4 Taleei, Ameneh 4 Wang, Jufeng 4 Wang, Pengde 4 Yin, Baoli 4 Zaghian, Ali 3 Álvarez Hostos, Juan C. 3 Chen, Changming 3 Chen, Wen 3 Chen, Yunkun 3 Fachinotti, Victor D. 3 Fu, Zhuojia 3 Ghafoor, Abdul 3 Haq, Sirajul 3 Hashemi, Mir Sajjad 3 Hendy, Ahmed S. 3 Hosseininia, M. 3 Huang, Jianfei 3 Huang, Ting-Zhu 3 Hussain, Manzoor 3 Jiwari, Ram 3 Khaliq, Abdul Q. M. 3 Li, Dongfang 3 Li, Meng 3 Li, Xuhao 3 Liu, Yang 3 Liu, Zeting 3 Luo, Weihua 3 Macías-Díaz, Jorge Eduardo 3 Nie, Yufeng 3 Nikazad, Touraj 3 Ordokhani, Yadollah 3 Pan, Kejia 3 Parand, Kourosh 3 Qi, Haitao 3 Rashidinia, Jalil 3 Razzaghi, Mohsen 3 Ren, Lei 3 Sayevand, Khosro 3 Shi, Zhengguang 3 Singh, Vineet Kumar ...and 792 more Authors all top 5 Cited in 92 Serials 74 Engineering Analysis with Boundary Elements 57 Computers & Mathematics with Applications 51 Applied Mathematics and Computation 42 Applied Numerical Mathematics 29 Journal of Computational and Applied Mathematics 28 Computational and Applied Mathematics 24 Numerical Algorithms 22 Journal of Computational Physics 16 Advances in Difference Equations 14 Applied Mathematical Modelling 13 Journal of Scientific Computing 9 Computer Methods in Applied Mechanics and Engineering 9 Mathematical Methods in the Applied Sciences 9 Applied Mathematics Letters 9 Communications in Nonlinear Science and Numerical Simulation 9 International Journal of Computational Methods 8 Fractional Calculus & Applied Analysis 7 Numerical Methods for Partial Differential Equations 7 International Journal of Computer Mathematics 7 Nonlinear Dynamics 6 Mathematics and Computers in Simulation 6 International Journal of Applied and Computational Mathematics 5 Chaos, Solitons and Fractals 4 Applicable Analysis 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Inverse Problems in Science and Engineering 4 Advances in Mathematical Physics 4 East Asian Journal on Applied Mathematics 3 Journal of Mathematical Analysis and Applications 3 Advances in Computational Mathematics 3 Mathematical Problems in Engineering 3 Journal of Applied Mathematics and Computing 2 Computers and Fluids 2 Journal of the Franklin Institute 2 Computational Mechanics 2 Abstract and Applied Analysis 2 Discrete Dynamics in Nature and Society 2 European Journal of Mechanics. 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Razmadze Mathematical Institute 1 Communications on Applied Mathematics and Computation all top 5 Cited in 33 Fields 500 Numerical analysis (65-XX) 373 Partial differential equations (35-XX) 72 Real functions (26-XX) 65 Fluid mechanics (76-XX) 43 Mechanics of deformable solids (74-XX) 39 Ordinary differential equations (34-XX) 25 Integral equations (45-XX) 24 Special functions (33-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Biology and other natural sciences (92-XX) 15 Probability theory and stochastic processes (60-XX) 14 Approximations and expansions (41-XX) 12 Optics, electromagnetic theory (78-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geophysics (86-XX) 3 Computer science (68-XX) 2 Number theory (11-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Mathematics education (97-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year