# zbMATH — the first resource for mathematics

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 Documents Indexed: 70 Publications since 2013
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#### 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)

#### 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 1352.65397
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
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
2013
The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions. Zbl 1369.65126
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2014
Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. Zbl 1321.65129
Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa
2015
An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations. Zbl 1403.65082
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate. Zbl 1315.65086
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. Zbl 1305.65211
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
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
2013
Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. Zbl 1348.65141
Dehghan, Mehdi; Abbaszadeh, Mostafa
2016
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
2017
An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations. Zbl 1395.65074
Dehghan, Mehdi; Abbaszadeh, Mostafa
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 1286.76014
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2013
Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170
Mohebbi, Akbar; Abbaszadeh, Mostafa
2013
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173
Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua
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
2017
Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261
Dehghan, Mehdi; Abbaszadeh, Mostafa
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.
2014
The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. Zbl 1380.65301
Dehghan, Mehdi; Abbaszadeh, Mostafa
2017
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
2014
A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model. Zbl 1403.65084
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods. Zbl 1403.65068
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
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
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
2018
High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2014
Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition. Zbl 1412.65138
Dehghan, Mehdi; Abbaszadeh, Mostafa
2017
Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Zbl 1410.65351
2019
A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Zbl 1415.65224
Dehghan, Mehdi; Abbaszadeh, Mostafa
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
2016
The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models. Zbl 1403.65067
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. Zbl 1359.65199
Dehghan, Mehdi; Abbaszadeh, Mostafa
2016
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
2019
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
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 1409.76095
Dehghan, Mehdi; Abbaszadeh, Mostafa
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
2018
Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 07159582
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
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
2014
The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 07110343
Abbaszadeh, Mostafa; Dehghan, Mehdi
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
2019
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
2016
Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method. Zbl 1428.65073
Abbaszadeh, Mostafa; Dehghan, Mehdi
2019
Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015
Dehghan, Mehdi; Abbaszadeh, Mostafa
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
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
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
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
2018
Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121
Dehghan, Mehdi; Abbaszadeh, Mostafa
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 1442.65287
Abbaszadeh, Mostafa; Dehghan, Mehdi
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
2020
Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow. Zbl 1433.65233
2020
A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook Equation. Zbl 07119146
Khodadadian, Amirreza; Parvizi, Maryam; Abbaszadeh, Mostafa; Dehghan, Mehdi; Heitzinger, Clemens
2019
Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. Zbl 1435.65170
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong
2020
Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. Zbl 1442.65288
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong
2019
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
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 07268631
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa
2020
Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 07228814
Abbaszadeh, Mostafa; Dehghan, Mehdi
2020
Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174
Abbaszadeh, Mostafa; Dehghan, Mehdi
2020
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
2019
Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. Zbl 07268591
Abbaszadeh, Mostafa; Dehghan, Mehdi
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
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 07263930
Dehghan, Mehdi; Abbaszadeh, Mostafa
2019
Nonlinear optimal control for wind power generators comprising a multi-mass drivetrain and a DFIG. Zbl 1411.93129
Rigatos, G.; Siano, P.; Abbaszadeh, M.; Wira, Patrice
2019
The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrödinger equation and Schrödinger-Boussinesq system. Zbl 1424.65201
Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi
2018
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
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
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
2020
Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow. Zbl 1433.65233
2020
Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. Zbl 1435.65170
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong
2020
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 07268631
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa
2020
Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 07228814
Abbaszadeh, Mostafa; Dehghan, Mehdi
2020
Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174
Abbaszadeh, Mostafa; Dehghan, Mehdi
2020
Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. Zbl 07268591
Abbaszadeh, Mostafa; Dehghan, Mehdi
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
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
2019
Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Zbl 1410.65351
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
2019
The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 07110343
Abbaszadeh, Mostafa; Dehghan, Mehdi
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
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
2019
A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook Equation. Zbl 07119146
Khodadadian, Amirreza; Parvizi, Maryam; Abbaszadeh, Mostafa; Dehghan, Mehdi; Heitzinger, Clemens
2019
Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. Zbl 1442.65288
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong
2019
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
2019
The solution of nonlinear Green-Naghdi equation arising in water sciences via a meshless method which combines moving Kriging interpolation shape functions with the weighted essentially non-oscillatory method. Zbl 07263930
Dehghan, Mehdi; Abbaszadeh, Mostafa
2019
Nonlinear optimal control for wind power generators comprising a multi-mass drivetrain and a DFIG. Zbl 1411.93129
Rigatos, G.; Siano, P.; Abbaszadeh, M.; Wira, Patrice
2019
An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations. Zbl 1395.65074
Dehghan, Mehdi; Abbaszadeh, Mostafa
2018
A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed-order fractional damped diffusion-wave equation. Zbl 1395.65098
Dehghan, Mehdi; Abbaszadeh, Mostafa
2018
A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Zbl 1415.65224
Dehghan, Mehdi; Abbaszadeh, Mostafa
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
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
2018
Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015
Dehghan, Mehdi; Abbaszadeh, Mostafa
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
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
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
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
2018
The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrödinger equation and Schrödinger-Boussinesq system. Zbl 1424.65201
Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi
2018
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
2017
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173
Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua
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
2017
Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261
Dehghan, Mehdi; Abbaszadeh, Mostafa
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
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
2017
Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121
Dehghan, Mehdi; Abbaszadeh, Mostafa
2017
Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. Zbl 1348.65141
Dehghan, Mehdi; Abbaszadeh, Mostafa
2016
Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods. Zbl 1403.65068
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
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
2016
The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models. Zbl 1403.65067
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. Zbl 1359.65199
Dehghan, Mehdi; Abbaszadeh, Mostafa
2016
Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 07159582
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
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
2016
Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. Zbl 1321.65129
Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa
2015
An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations. Zbl 1403.65082
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate. Zbl 1315.65086
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. Zbl 1305.65211
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model. Zbl 1403.65084
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
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
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
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.
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
2014
High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
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
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
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
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
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
2013
Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170
Mohebbi, Akbar; Abbaszadeh, Mostafa
2013
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 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. A. Solids 2 Nonlinear Analysis. Real World Applications 2 Acta Mechanica Sinica 2 Applications and Applied Mathematics 2 Tbilisi Mathematical Journal 2 Journal of Applied Analysis and Computation 2 Journal of Function Spaces 1 Computer Physics Communications 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Wave Motion 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 Acta Mathematicae Applicatae Sinica. English Series 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 Complexity 1 Journal of Difference Equations and Applications 1 Journal of Vibration and Control 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 LMS Journal of Computation and Mathematics 1 Annales Mathematicae Silesianae 1 Journal of Applied Mathematics 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Thai Journal of Mathematics 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Mediterranean Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 European Journal of Pure and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Geosciences 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 TWMS Journal of Pure and Applied Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Arabian Journal of Mathematics 1 Mathematical Sciences 1 Mathematics 1 Journal of Mathematical Modeling 1 Computational Methods for Differential Equations 1 Open Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Cogent Mathematics 1 Transactions of A. Razmadze Mathematical Institute 1 Communications on Applied Mathematics and Computation