Compute Distance To:
 Documents Indexed: 90 Publications since 2013 Co-Authors: 22 Co-Authors with 89 Joint Publications 342 Co-Co-Authors
all top 5

### Co-Authors

 1 single-authored 83 Dehghan Takht Fooladi, Mehdi 19 Mohebbi, Akbar 7 Khodadadian, Amirreza 6 Heitzinger, Clemens 3 Azis, Mohammad Ivan 3 Bayat, Mostafa 3 Ebrahimijahan, Ali 3 Parvizi, Maryam 3 Wick, Thomas 2 Gharibi, Zeinab 2 Hendy, Ahmed S. 2 Karamali, Gholamreza 2 Noii, Nima 2 Shafieeabyaneh, Nasim 2 Zaky, Mahmoud A. 1 Amjadian, Hanieh 1 Bakhtiari Nejad, Firooz 1 Deng, Weihua 1 Kamali, Ali 1 Loghman, Ehsan 1 Mohammadi-Arani, Reza 1 Safarpoor, Mansour
all top 5

### Serials

 19 Engineering Analysis with Boundary Elements 12 Computers & Mathematics with Applications 11 Applied Numerical Mathematics 7 Journal of Computational and Applied Mathematics 5 Computer Methods in Applied Mechanics and Engineering 4 Numerical Algorithms 3 Applicable Analysis 3 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 Computational Mechanics 2 Applied Mathematics Letters 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 1 Wave Motion 1 Mathematics and Computers in Simulation 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Nonlinear Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 CMES. Computer Modeling in Engineering & Sciences 1 Inverse Problems in Science and Engineering 1 Iranian Journal of Mathematical Chemistry 1 Journal of Function Spaces 1 Computational Methods for Differential Equations 1 Communications on Applied Mathematics and Computation
all top 5

### Fields

 86 Numerical analysis (65-XX) 55 Partial differential equations (35-XX) 15 Fluid mechanics (76-XX) 7 Real functions (26-XX) 5 Mechanics of deformable solids (74-XX) 4 Integral equations (45-XX) 4 Geophysics (86-XX) 3 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

82 Publications have been cited 1,560 times in 908 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
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
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
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
An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Zbl 1412.65131
2017
Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. Zbl 1305.65211
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations. Zbl 1403.74285
2017
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173
Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua
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
2018
A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term. Zbl 1350.65083
2013
Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. Zbl 1348.65141
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
2013
Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170
2013
A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations. Zbl 1404.65207
2019
Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261
2017
The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. Zbl 1380.65301
2017
Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 1459.65194
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Zbl 1415.65224
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
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
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
Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method. Zbl 1412.65070
2019
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
2018
Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Zbl 1410.65351
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
2015
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
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
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
2018
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 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
2018
Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. Zbl 1444.76083
2020
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
2017
Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. Zbl 1359.65199
2016
Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. Zbl 1439.76060
2016
The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 1464.76052
2019
The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models. Zbl 1403.65067
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
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
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
2019
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
Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015
2018
The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. Zbl 1443.65188
2020
A Bayesian estimation method for variational phase-field fracture problems. Zbl 1462.74139
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
Variational multiscale element-free Galerkin method combined with the moving Kriging interpolation for solving some partial differential equations with discontinuous solutions. Zbl 1404.65084
2018
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
2015
The two-grid interpolating element free Galerkin (TG-IEFG) method for solving Rosenau-regularized long wave (RRLW) equation with error analysis. Zbl 1395.65133
2018
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
2020
Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. Zbl 1464.65081
2020
Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. Zbl 1446.65103
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
2018
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
Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121
2017
Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174
2020
A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation. Zbl 1465.76076
2019
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
Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains. Zbl 1442.65244
2019
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
2020
Application of spectral element method for solving Sobolev equations with error estimation. Zbl 1452.65271
Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa
2020
Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 1464.74162
2020
The interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis. Zbl 1437.65121
2019
Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam. Zbl 1481.74283
2021
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
2020
A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation. Zbl 1486.65157
2021
Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation. Zbl 1476.65152
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
2018
The Crank-Nicolson/interpolating stabilized element-free Galerkin method to investigate the fractional Galilei invariant advection-diffusion equation. Zbl 1486.65156
2021
The meshless local Petrov-Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials related to incompressible flow. Zbl 07391017
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
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
2019
Simulation of plane elastostatic equations of anisotropic functionally graded materials by integrated radial basis function based on finite difference approach. Zbl 07440030
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa
2022
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
2021
Investigation of generalized Couette hydromagnetic flow of two-step exothermic chemical reaction in a channel via the direct meshless local Petrov-Galerkin method. Zbl 1464.76051
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
2021
Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems. Zbl 1492.65308
Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa
2022
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.
2021
A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: nonstationary incompressible Boussinesq equations. Zbl 07510038
2021
Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection-reaction-diffusion models. Zbl 1487.65160
2022
An upwind local radial basis functions-finite difference (RBF-FD) method for solving compressible Euler equation with application in finite-rate chemistry. Zbl 1464.93085
Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi
2019
Simulation of plane elastostatic equations of anisotropic functionally graded materials by integrated radial basis function based on finite difference approach. Zbl 07440030
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa
2022
Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems. Zbl 1492.65308
Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa
2022
Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection-reaction-diffusion models. Zbl 1487.65160
2022
Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam. Zbl 1481.74283
2021
A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation. Zbl 1486.65157
2021
The Crank-Nicolson/interpolating stabilized element-free Galerkin method to investigate the fractional Galilei invariant advection-diffusion equation. Zbl 1486.65156
2021
The meshless local Petrov-Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials related to incompressible flow. Zbl 07391017
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
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
2021
Investigation of generalized Couette hydromagnetic flow of two-step exothermic chemical reaction in a channel via the direct meshless local Petrov-Galerkin method. Zbl 1464.76051
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
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.
2021
A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: nonstationary incompressible Boussinesq equations. Zbl 07510038
2021
Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. Zbl 1444.76083
2020
Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. Zbl 1443.65188
2020
A Bayesian estimation method for variational phase-field fracture problems. Zbl 1462.74139
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
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
2020
Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. Zbl 1464.65081
2020
Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. Zbl 1446.65103
2020
Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. Zbl 1437.65174
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
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
2020
Application of spectral element method for solving Sobolev equations with error estimation. Zbl 1452.65271
Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa
2020
Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. Zbl 1464.74162
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
2020
Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation. Zbl 1476.65152
2020
A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations. Zbl 1404.65207
2019
Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method. Zbl 1412.65070
2019
Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Zbl 1410.65351
2019
The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. Zbl 1464.76052
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
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
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
A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation. Zbl 1465.76076
2019
Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains. Zbl 1442.65244
2019
The interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis. Zbl 1437.65121
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
2019
An upwind local radial basis functions-finite difference (RBF-FD) method for solving compressible Euler equation with application in finite-rate chemistry. Zbl 1464.93085
Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi
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
2018
A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Zbl 1415.65224
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
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
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
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
2018
Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. Zbl 1439.82015
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
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
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
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
2017
The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations. Zbl 1403.74285
2017
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173
Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua
2017
Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. Zbl 1368.65261
2017
The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. Zbl 1380.65301
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
2017
Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. Zbl 1369.65121
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
2016
Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 1459.65194
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
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
Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. Zbl 1359.65199
2016
Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. Zbl 1439.76060
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
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
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
High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
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
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 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
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
2013
all top 5