A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term. - Mostafa Abbaszadeh; Akbar Mohebbi (Comput. Math. Appl., 2013)

A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term. - Akbar Mohebbi; Mostafa Abbaszadeh; Mehdi Dehghan 002 (J. Comput. Phys., 2013)

Compact finite difference scheme for the solution of time fractional advection-dispersion equation. - Akbar Mohebbi; Mostafa Abbaszadeh (Numer. Algorithms, 2013)

The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions. - Mehdi Dehghan 002; Mostafa Abbaszadeh; Akbar Mohebbi (Comput. Math. Appl., 2014)

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. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Comput. Math. Appl., 2015)

Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. - Mehdi Dehghan 002; Mostafa Abbaszadeh; Akbar Mohebbi (J. Comput. Appl. Math., 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. - Mehdi Dehghan 002; Mostafa Abbaszadeh; Akbar Mohebbi (J. Comput. Appl. Math., 2015)

Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. - Mehdi Dehghan 002; Mansour Safarpoor; Mostafa Abbaszadeh (J. Comput. Appl. Math., 2015)

Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Comput. Math. Appl., 2016)

Analysis of a meshless method for the time fractional diffusion-wave equation. - Mehdi Dehghan 002; Mostafa Abbaszadeh; Akbar Mohebbi (Numer. Algorithms, 2016)

Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. - Mehdi Dehghan 002; Mostafa Abbaszadeh; Weihua Deng (Appl. Math. Lett., 2017)

Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Comput. Math. Appl., 2017)

A finite element method for the numerical solution of Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2017)

A local meshless method for solving multi-dimensional Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck systems arising in plasma physics. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2017)

Numerical investigation based on direct meshless local Petrov Galerkin (direct MLPG) method for solving generalized Zakharov system in one and two dimensions and generalized Gross-Pitaevskii equation. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2017)

The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. - Mehdi Dehghan 002; Mostafa Abbaszadeh (J. Comput. Phys., 2017)

Evaluating a green supplier selection problem using a hybrid MODM algorithm. - Ehsan Afshar Bakeshlou; Alireza Arshadi Khamseh; Mohammad Ali Goudarzian Asl; Javad Sadeghi; Mostafa Abbaszadeh (J. Intell. Manuf., 2017)

An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Numer. Algorithms, 2017)

A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Comput. Math. Appl., 2018)

A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Comput. Math. Appl., 2018)

Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. - Mostafa Abbaszadeh (Appl. Math. Lett., 2019)

Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Comput. Math. Appl., 2019)

Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Yong Zhou 005 (Comput. Math. Appl., 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. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Commun. Nonlinear Sci. Numer. Simul., 2019)

A Bayesian estimation method for variational phase-field fracture problems. - Amirreza Khodadadian; Nima Noii; Maryam Parvizi; Mostafa Abbaszadeh; Thomas Wick; Clemens Heitzinger (CoRR, 2019)

The simulation of some chemotactic bacteria patterns in liquid medium which arises in tumor growth with blow-up phenomena via a generalized smoothed particle hydrodynamics (GSPH) method. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2019)

Numerical solution of a time-fractional PDE in the electroanalytical chemistry by a local meshless method. - Gholamreza Karamali; Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 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. - Mehdi Dehghan 002; Mostafa Abbaszadeh (J. Comput. Appl. Math., 2019)

Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Comput. Math. Appl., 2020)

Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Amirreza Khodadadian; Clemens Heitzinger (Comput. Math. Appl., 2020)

Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Amirreza Khodadadian; Clemens Heitzinger (J. Comput. Appl. Math., 2020)

Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Yong Zhou 005 (J. Comput. Appl. Math., 2020)

Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Appl. Math. Comput., 2021)

Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system. - Zeinab Gharibi; Mehdi Dehghan 002; Mostafa Abbaszadeh (Comput. Math. Appl., 2021)

Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection-diffusion equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Eng. Comput., 2021)

A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Eng. Comput., 2021)

Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Int. J. Comput. Math., 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. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Amirreza Khodadadian; Nima Noii; Clemens Heitzinger; Thomas Wick (J. Comput. Phys., 2021)

Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings. - Ahmed S. Hendy; Mahmoud A. Zaky; Mostafa Abbaszadeh (Math. Comput. Simul., 2021)

Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method. - Mostafa Abbaszadeh; Mostafa Bayat; Mehdi Dehghan 002 (Appl. Math. Comput., 2022)

The fourth-order time-discrete scheme and split-step direct meshless finite volume method for solving cubic-quintic complex Ginzburg-Landau equations on complicated geometries. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Eng. Comput., 2022)

Investigation of heat transport equation at the microscale via interpolating element-free Galerkin method. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Eng. Comput., 2022)

A POD reduced-order model based on spectral Galerkin method for solving the space-fractional Gray-Scott model with error estimate. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Ionel Michael Navon (Eng. Comput., 2022)

Numerical simulation based on a combination of finite-element method and proper orthogonal decomposition to prevent the groundwater contamination. - Mehdi Dehghan 002; Baharak Hooshyarfarzin; Mostafa Abbaszadeh (Eng. Comput., 2022)

Integrated radial basis functions (IRBFs) to simulate nonlinear advection-diffusion equations with smooth and non-smooth initial data. - Ali Ebrahimijahan; Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2022)

Simulation of the incompressible Navier-Stokes via integrated radial basis function based on finite difference scheme. - Ali Ebrahimijahan; Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2022)

An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs. - Mohammad Ivan Azis; Mostafa Abbaszadeh; Mehdi Dehghan 002 (Int. J. Comput. Math., 2022)

Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems. - Zeinab Gharibi; Mehdi Dehghan 002; Mostafa Abbaszadeh (J. Comput. Appl. Math., 2022)

A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Numer. Algorithms, 2022)

Proper Orthogonal Decomposition-Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas. - Reza MohammadiArani; Mehdi Dehghan 002; Mostafa Abbaszadeh (SIAM J. Sci. Comput., 2022)

On Enhancement of Text Classification and Analysis of Text Emotions Using Graph Machine Learning and Ensemble Learning Methods on Non-English Datasets. - Fatemeh Gholami; Zahed Rahmati; Alireza Mofidi; Mostafa Abbaszadeh (Algorithms, 2023)

Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method. - Mostafa Abbaszadeh; Mohammad Ivan Azis; Mehdi Dehghan 002; Reza MohammadiArani (Comput. Math. Appl., 2023)

Extending matrix-vector framework on multiple relaxation time lattice Boltzmann method. - Reza MohammadiArani; Mehdi Dehghan 002; Mostafa Abbaszadeh (Appl. Math. Lett., 2024)

Fourth-order exponential time differencing Runge-Kutta scheme and local meshless method to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials. - Mohammad Ilati; Mostafa Abbaszadeh (Int. J. Comput. Math., 2024)

A meshless collocation method based on Pascal polynomial approximation and implicit closest point method for solving reaction-diffusion systems on surfaces. - Hasan Zamani-Gharaghoshi; Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2024)

Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains. - Mostafa Abbaszadeh; Mahmoud A. Zaky; Ahmed S. Hendy; Mehdi Dehghan 002 (Math. Comput. Simul., 2024)

Morphodynamic shallow layer equations featuring bed load and suspended sediment with lattice Boltzmann method. - Reza MohammadiArani; Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2024)

Investigation of phase-field models of tumor growth based on a reduced-order meshless Galerkin method. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Dunhui Xiao (Eng. Comput., 2024)

Virtual element approximation and BDF2 time-discrete scheme for a partial integro-differential equation with a singular Abel's kernel. - Mostafa Abbaszadeh; Mahmoud A. Zaky; Mehdi Dehghan 002 (Appl. Math. Comput., 2025)

Numerical simulation and error estimation of the Davey-Stewartson equations with virtual element method. - Baharak Hooshyarfarzin; Mostafa Abbaszadeh; Mehdi Dehghan 002 (Appl. Math. Comput., 2025)

A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model. - Mostafa Abbaszadeh; Maryam Parvizi; Amirreza Khodadadian; Thomas Wick; Mehdi Dehghan 002 (Comput. Math. Appl., 2025)

A reduced-order least squares-support vector regression and isogeometric collocation method to simulate Cahn-Hilliard-Navier-Stokes equation. - Mostafa Abbaszadeh; Amirreza Khodadadian; Maryam Parvizi; Mehdi Dehghan 002; Dunhui Xiao (J. Comput. Phys., 2025)

Error estimate of virtual element approximation for loaded time-fractional Hallaire's equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (J. Appl. Math. Comput., 2025)

Mixed FEM for coupled unsteady fluid flow problems with p-type Brinkman-Forchheimer framework and its application for reverse-osmosis desalination. - Zeinab Gharibi; Mostafa Abbaszadeh; Mehdi Dehghan 002 (CoRR, 2025)