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Abbaszadeh, Mostafa

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Author ID: abbaszadeh.mostafa Recent zbMATH articles by "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

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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 1352.65397
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
77
2013
Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. Zbl 1321.65129
Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa
70
2015
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
69
2013
The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions. Zbl 1369.65126
Dehghan, 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 1403.65082
Dehghan, 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 1412.65131
Abbaszadeh, Mostafa; Dehghan, Mehdi
41
2017
Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298
Dehghan, 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 1315.65086
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
40
2015
Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. Zbl 1305.65211
Dehghan, 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 1350.65083
Abbaszadeh, Mostafa; Mohebbi, Akbar
34
2013
The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations. Zbl 1403.74285
Dehghan, Mehdi; Abbaszadeh, Mostafa
33
2017
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173
Dehghan, 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 1395.65074
Dehghan, Mehdi; Abbaszadeh, Mostafa
32
2018
Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170
Mohebbi, Akbar; Abbaszadeh, Mostafa
31
2013
Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. Zbl 1348.65141
Dehghan, 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 1286.76014
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
30
2013
Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261
Dehghan, Mehdi; Abbaszadeh, Mostafa
25
2017
A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations. Zbl 1404.65207
Abbaszadeh, Mostafa; Khodadadian, Amirreza; Parvizi, Maryam; Dehghan, Mehdi; Heitzinger, Clemens
25
2019
The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. Zbl 1380.65301
Dehghan, Mehdi; Abbaszadeh, Mostafa
23
2017
Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 1459.65194
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
21
2016
A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Zbl 1415.65224
Dehghan, Mehdi; Abbaszadeh, Mostafa
20
2018
High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060
Mohebbi, 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 1403.65068
Dehghan, 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 1357.65187
Dehghan, 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 1287.65089
Mohebbi, 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 1395.65098
Dehghan, Mehdi; Abbaszadeh, Mostafa
19
2018
Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Zbl 1410.65351
Abbaszadeh, 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 1403.65084
Dehghan, 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 1412.65070
Dehghan, 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 1403.65109
Dehghan, 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 1412.65138
Dehghan, 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 1409.76095
Dehghan, 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 1403.65067
Dehghan, 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 1425.65108
Dehghan, 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 1403.78037
Dehghan, 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 1359.65199
Dehghan, Mehdi; Abbaszadeh, Mostafa
15
2016
The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 1464.76052
Abbaszadeh, 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 1444.76083
Abbaszadeh, Mostafa; Dehghan, Mehdi
14
2020
Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. Zbl 1439.76060
Dehghan, 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 1428.65073
Abbaszadeh, Mostafa; Dehghan, Mehdi
14
2019
Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015
Dehghan, Mehdi; Abbaszadeh, Mostafa
13
2018
The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
11
2015
The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation. Zbl 1357.65197
Mohebbi, 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 1419.65015
Dehghan, 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 1404.65084
Dehghan, 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 1435.65170
Abbaszadeh, 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 1443.65188
Abbaszadeh, 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 1395.65133
Abbaszadeh, Mostafa; Dehghan, Mehdi
8
2018
Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121
Dehghan, Mehdi; Abbaszadeh, Mostafa
7
2017
Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. Zbl 1442.65288
Abbaszadeh, 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 1464.65081
Abbaszadeh, 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 1380.65255
Dehghan, 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 1433.65233
Abbaszadeh, 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 1442.65287
Abbaszadeh, Mostafa; Dehghan, Mehdi
6
2020
Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. Zbl 1446.65103
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens
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 1443.65189
Abbaszadeh, Mostafa; Dehghan, Mehdi
6
2015
A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation. Zbl 1465.76076
Khodadadian, Amirreza; Parvizi, Maryam; Abbaszadeh, Mostafa; Dehghan, Mehdi; Heitzinger, Clemens
6
2019
A Bayesian estimation method for variational phase-field fracture problems. Zbl 1462.74139
Khodadadian, Amirreza; Noii, Nima; Parvizi, Maryam; Abbaszadeh, Mostafa; Wick, Thomas; Heitzinger, Clemens
6
2020
Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 1464.74162
Abbaszadeh, Mostafa; Dehghan, Mehdi
5
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
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 1464.65139
Ebrahimijahan, 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 1452.65145
Abbaszadeh, Mostafa; Dehghan, Mehdi
3
2020
Application of spectral element method for solving Sobolev equations with error estimation. Zbl 1452.65271
Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa
3
2020
The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrödinger equation and Schrödinger-Boussinesq system. Zbl 1424.65201
Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi
3
2018
Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174
Abbaszadeh, 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 07391017
Abbaszadeh, 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 1437.65121
Abbaszadeh, 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 07351763
Gharibi, 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 1474.65340
Abbaszadeh, Mostafa; Dehghan, Mehdi
1
2021
Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation. Zbl 1476.65152
Abbaszadeh, 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 07431574
Hendy, Ahmed S.; Zaky, Mahmoud A.; Abbaszadeh, Mostafa
1
2021
Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation. Zbl 07452496
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zaky, Mahmoud A.; Hendy, Ahmed S.
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 07379318
Abbaszadeh, Mostafa; Dehghan, Mehdi
1
2021
Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam. Zbl 1481.74283
Loghman, Ehsan; Kamali, Ali; Bakhtiari-Nejad, Firooz; Abbaszadeh, Mostafa
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 07263930
Dehghan, 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 07391017
Abbaszadeh, 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 07351763
Gharibi, 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 1474.65340
Abbaszadeh, 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 07431574
Hendy, Ahmed S.; Zaky, Mahmoud A.; Abbaszadeh, Mostafa
1
2021
Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation. Zbl 07452496
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zaky, Mahmoud A.; Hendy, Ahmed S.
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 07379318
Abbaszadeh, Mostafa; Dehghan, Mehdi
1
2021
Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam. Zbl 1481.74283
Loghman, Ehsan; Kamali, Ali; Bakhtiari-Nejad, Firooz; Abbaszadeh, Mostafa
1
2021
Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. Zbl 1444.76083
Abbaszadeh, Mostafa; Dehghan, Mehdi
14
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
9
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
9
2020
Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. Zbl 1464.65081
Abbaszadeh, Mostafa; Dehghan, Mehdi
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 1433.65233
Abbaszadeh, 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 1442.65287
Abbaszadeh, Mostafa; Dehghan, Mehdi
6
2020
Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. Zbl 1446.65103
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens
6
2020
A Bayesian estimation method for variational phase-field fracture problems. Zbl 1462.74139
Khodadadian, Amirreza; Noii, Nima; Parvizi, Maryam; Abbaszadeh, Mostafa; Wick, Thomas; Heitzinger, Clemens
6
2020
Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 1464.74162
Abbaszadeh, Mostafa; Dehghan, Mehdi
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 1464.65139
Ebrahimijahan, 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 1452.65145
Abbaszadeh, Mostafa; Dehghan, Mehdi
3
2020
Application of spectral element method for solving Sobolev equations with error estimation. Zbl 1452.65271
Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa
3
2020
Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174
Abbaszadeh, Mostafa; Dehghan, Mehdi
3
2020
Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation. Zbl 1476.65152
Abbaszadeh, Mostafa; Amjadian, Hanieh
1
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
25
2019
Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Zbl 1410.65351
Abbaszadeh, Mostafa
19
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
17
2019
The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 1464.76052
Abbaszadeh, 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 1428.65073
Abbaszadeh, 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 1419.65015
Dehghan, Mehdi; Abbaszadeh, Mostafa
11
2019
Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. Zbl 1442.65288
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong
7
2019
A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation. Zbl 1465.76076
Khodadadian, Amirreza; Parvizi, Maryam; Abbaszadeh, Mostafa; Dehghan, Mehdi; Heitzinger, Clemens
6
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
5
2019
The interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis. Zbl 1437.65121
Abbaszadeh, Mostafa; Dehghan, Mehdi
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 07263930
Dehghan, 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 1395.65074
Dehghan, Mehdi; Abbaszadeh, Mostafa
32
2018
A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Zbl 1415.65224
Dehghan, 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 1395.65098
Dehghan, 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 1403.65109
Dehghan, 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 1409.76095
Dehghan, 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 1403.78037
Dehghan, Mehdi; Abbaszadeh, Mostafa
15
2018
Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015
Dehghan, 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 1404.65084
Dehghan, 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 1395.65133
Abbaszadeh, 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 1380.65255
Dehghan, Mehdi; Abbaszadeh, Mostafa
7
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
3
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
41
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
33
2017
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173
Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua
33
2017
Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261
Dehghan, Mehdi; Abbaszadeh, Mostafa
25
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
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 1412.65138
Dehghan, Mehdi; Abbaszadeh, Mostafa
16
2017
Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121
Dehghan, Mehdi; Abbaszadeh, Mostafa
7
2017
Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298
Dehghan, 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 1348.65141
Dehghan, Mehdi; Abbaszadeh, Mostafa
31
2016
Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 1459.65194
Dehghan, 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 1403.65068
Dehghan, 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 1403.65067
Dehghan, 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 1425.65108
Dehghan, 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 1359.65199
Dehghan, Mehdi; Abbaszadeh, Mostafa
15
2016
Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. Zbl 1439.76060
Dehghan, Mehdi; Abbaszadeh, Mostafa
14
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
70
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
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 1315.65086
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
40
2015
Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. Zbl 1305.65211
Dehghan, 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 1403.65084
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
18
2015
The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083
Dehghan, 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 1443.65189
Abbaszadeh, 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 1369.65126
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
64
2014
High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060
Mohebbi, 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 1357.65187
Dehghan, 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 1287.65089
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
19
2014
The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation. Zbl 1357.65197
Mohebbi, 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 1352.65397
Mohebbi, 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 1287.65064
Mohebbi, 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 1350.65083
Abbaszadeh, Mostafa; Mohebbi, Akbar
34
2013
Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170
Mohebbi, 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 1286.76014
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
30
2013
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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
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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
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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)

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