Mostafa Abbaszadeh

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 48

Top Topics

Diffusion Equation

Lattice Boltzmann Method

Top Venues

Comput. Math. Appl.

J. Comput. Appl. Math.

Numer. Algorithms

Publications

Reza MohammadiArani, Mehdi Dehghan, Mostafa Abbaszadeh
Morphodynamic shallow layer equations featuring bed load and suspended sediment with lattice Boltzmann method. Eng. Comput. 40 (2) (2024)
Hasan Zamani-Gharaghoshi, Mehdi Dehghan, Mostafa Abbaszadeh
A meshless collocation method based on Pascal polynomial approximation and implicit closest point method for solving reaction-diffusion systems on surfaces. Eng. Comput. 40 (1) (2024)
Mostafa Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, Mehdi Dehghan
Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains. Math. Comput. Simul. 216 (2024)
Reza MohammadiArani, Mehdi Dehghan, Mostafa Abbaszadeh
Extending matrix-vector framework on multiple relaxation time lattice Boltzmann method. Appl. Math. Lett. 152 (2024)
Fatemeh Gholami, Zahed Rahmati, Alireza Mofidi, Mostafa Abbaszadeh
On Enhancement of Text Classification and Analysis of Text Emotions Using Graph Machine Learning and Ensemble Learning Methods on Non-English Datasets. Algorithms 16 (10) (2023)
Mostafa Abbaszadeh, Mohammad Ivan Azis, Mehdi Dehghan, Reza MohammadiArani
Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method. Comput. Math. Appl. 140 (2023)
Mostafa Abbaszadeh, Mehdi Dehghan, Ionel Michael Navon
A POD reduced-order model based on spectral Galerkin method for solving the space-fractional Gray-Scott model with error estimate. Eng. Comput. 38 (3) (2022)
Ali Ebrahimijahan, Mehdi Dehghan, Mostafa Abbaszadeh
Integrated radial basis functions (IRBFs) to simulate nonlinear advection-diffusion equations with smooth and non-smooth initial data. Eng. Comput. 38 (2) (2022)
Zeinab Gharibi, Mehdi Dehghan, Mostafa Abbaszadeh
Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems. J. Comput. Appl. Math. 416 (2022)
Mostafa Abbaszadeh, Mostafa Bayat, Mehdi Dehghan
Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method. Appl. Math. Comput. 433 (2022)
Reza MohammadiArani, Mehdi Dehghan, Mostafa Abbaszadeh
Proper Orthogonal Decomposition-Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas. SIAM J. Sci. Comput. 44 (4) (2022)
Mostafa Abbaszadeh, Mehdi Dehghan
A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation. Numer. Algorithms 90 (1) (2022)
Mohammad Ivan Azis, Mostafa Abbaszadeh, Mehdi Dehghan
An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs. Int. J. Comput. Math. 99 (3) (2022)
Mostafa Abbaszadeh, Mehdi Dehghan
Investigation of heat transport equation at the microscale via interpolating element-free Galerkin method. Eng. Comput. 38 (4) (2022)
Mostafa Abbaszadeh, Mehdi Dehghan
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. Eng. Comput. 38 (2) (2022)
Mehdi Dehghan, Baharak Hooshyarfarzin, Mostafa Abbaszadeh
Numerical simulation based on a combination of finite-element method and proper orthogonal decomposition to prevent the groundwater contamination. Eng. Comput. 38 (4) (2022)
Ali Ebrahimijahan, Mehdi Dehghan, Mostafa Abbaszadeh
Simulation of the incompressible Navier-Stokes via integrated radial basis function based on finite difference scheme. Eng. Comput. 38 (6) (2022)
Mostafa Abbaszadeh, Mehdi Dehghan
Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation. Int. J. Comput. Math. 98 (11) (2021)
Ahmed S. Hendy, Mahmoud A. Zaky, Mostafa Abbaszadeh
Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings. Math. Comput. Simul. 190 (2021)
Mostafa Abbaszadeh, Mehdi Dehghan
A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives. Eng. Comput. 37 (3) (2021)
Zeinab Gharibi, Mehdi Dehghan, Mostafa Abbaszadeh
Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system. Comput. Math. Appl. 92 (2021)
Mostafa Abbaszadeh, Mehdi Dehghan
Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation. Appl. Math. Comput. 392 (2021)
Mostafa Abbaszadeh, Mehdi Dehghan
Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection-diffusion equation. Eng. Comput. 37 (2) (2021)
Mostafa Abbaszadeh, Mehdi Dehghan, Amirreza Khodadadian, Nima Noii, Clemens Heitzinger, Thomas Wick
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. J. Comput. Phys. 426 (2021)
Mostafa Abbaszadeh, Mehdi Dehghan, Amirreza Khodadadian, Clemens Heitzinger
Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow. J. Comput. Appl. Math. 368 (2020)
Mostafa Abbaszadeh, Mehdi Dehghan
Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. Comput. Math. Appl. 79 (3) (2020)
Mostafa Abbaszadeh, Mehdi Dehghan, Amirreza Khodadadian, Clemens Heitzinger
Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. Comput. Math. Appl. 80 (1) (2020)
Mostafa Abbaszadeh, Mehdi Dehghan, Yong Zhou
Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. J. Comput. Appl. Math. 374 (2020)
Mehdi Dehghan, Mostafa Abbaszadeh
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. Eng. Comput. 35 (3) (2019)
Mostafa Abbaszadeh, Mehdi Dehghan
Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains. Comput. Math. Appl. 78 (5) (2019)
Amirreza Khodadadian, Nima Noii, Maryam Parvizi, Mostafa Abbaszadeh, Thomas Wick, Clemens Heitzinger
A Bayesian estimation method for variational phase-field fracture problems. CoRR (2019)
Mehdi Dehghan, Mostafa Abbaszadeh
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. J. Comput. Appl. Math. 356 (2019)
Mehdi Dehghan, Mostafa Abbaszadeh
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. Commun. Nonlinear Sci. Numer. Simul. 68 (2019)
Mostafa Abbaszadeh
Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Appl. Math. Lett. 88 (2019)
Gholamreza Karamali, Mehdi Dehghan, Mostafa Abbaszadeh
Numerical solution of a time-fractional PDE in the electroanalytical chemistry by a local meshless method. Eng. Comput. 35 (1) (2019)
Mostafa Abbaszadeh, Mehdi Dehghan, Yong Zhou
Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. Comput. Math. Appl. 78 (5) (2019)
Mehdi Dehghan, Mostafa Abbaszadeh
A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. Comput. Math. Appl. 75 (4) (2018)
Mehdi Dehghan, Mostafa Abbaszadeh
A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Comput. Math. Appl. 75 (8) (2018)
Mehdi Dehghan, Mostafa Abbaszadeh, Weihua Deng
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Appl. Math. Lett. 73 (2017)
Ehsan Afshar Bakeshlou, Alireza Arshadi Khamseh, Mohammad Ali Goudarzian Asl, Javad Sadeghi, Mostafa Abbaszadeh
Evaluating a green supplier selection problem using a hybrid MODM algorithm. J. Intell. Manuf. 28 (4) (2017)
Mehdi Dehghan, Mostafa Abbaszadeh
The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. J. Comput. Phys. 351 (2017)
Mostafa Abbaszadeh, Mehdi Dehghan
An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Numer. Algorithms 75 (1) (2017)
Mehdi Dehghan, Mostafa Abbaszadeh
A local meshless method for solving multi-dimensional Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck systems arising in plasma physics. Eng. Comput. 33 (4) (2017)
Mehdi Dehghan, Mostafa Abbaszadeh
Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition. Comput. Math. Appl. 73 (6) (2017)
Mehdi Dehghan, Mostafa Abbaszadeh
A finite element method for the numerical solution of Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. Eng. Comput. 33 (3) (2017)
Mehdi Dehghan, Mostafa Abbaszadeh
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. Eng. Comput. 33 (4) (2017)
Mehdi Dehghan, Mostafa Abbaszadeh
Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. Comput. Math. Appl. 72 (3) (2016)
Mehdi Dehghan, Mostafa Abbaszadeh, Akbar Mohebbi
Analysis of a meshless method for the time fractional diffusion-wave equation. Numer. Algorithms 73 (2) (2016)
Mehdi Dehghan, Mansour Safarpoor, Mostafa Abbaszadeh
Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. J. Comput. Appl. Math. 290 (2015)
Mostafa Abbaszadeh, Mehdi Dehghan
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. Comput. Math. Appl. 70 (10) (2015)
Mehdi Dehghan, Mostafa Abbaszadeh, Akbar Mohebbi
Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. J. Comput. Appl. Math. 280 (2015)
Mehdi Dehghan, Mostafa Abbaszadeh, Akbar Mohebbi
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. J. Comput. Appl. Math. 286 (2015)
Mehdi Dehghan, Mostafa Abbaszadeh, Akbar Mohebbi
The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions. Comput. Math. Appl. 68 (3) (2014)
Mostafa Abbaszadeh, Akbar Mohebbi
A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term. Comput. Math. Appl. 66 (8) (2013)
Akbar Mohebbi, Mostafa Abbaszadeh, Mehdi Dehghan
A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term. J. Comput. Phys. 240 (2013)
Akbar Mohebbi, Mostafa Abbaszadeh
Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Numer. Algorithms 63 (3) (2013)