Mostafa Abbaszadeh

Orcid: 0000-0001-6954-3896

According to our database1, Mostafa Abbaszadeh authored at least 58 papers between 2013 and 2025.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2025
Numerical simulation and error estimation of the Davey-Stewartson equations with virtual element method.
Appl. Math. Comput., 2025

2024
Investigation of phase-field models of tumor growth based on a reduced-order meshless Galerkin method.
Eng. Comput., August, 2024

Morphodynamic shallow layer equations featuring bed load and suspended sediment with lattice Boltzmann method.
Eng. Comput., April, 2024

Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains.
Math. Comput. Simul., February, 2024

A meshless collocation method based on Pascal polynomial approximation and implicit closest point method for solving reaction-diffusion systems on surfaces.
Eng. Comput., February, 2024

Extending matrix-vector framework on multiple relaxation time lattice Boltzmann method.
Appl. Math. Lett., 2024

2023
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., June, 2023

On Enhancement of Text Classification and Analysis of Text Emotions Using Graph Machine Learning and Ensemble Learning Methods on Non-English Datasets.
Algorithms, 2023

2022
Proper Orthogonal Decomposition-Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas.
SIAM J. Sci. Comput., August, 2022

A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation.
Numer. Algorithms, 2022

Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems.
J. Comput. Appl. Math., 2022

An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs.
Int. J. Comput. Math., 2022

Simulation of the incompressible Navier-Stokes via integrated radial basis function based on finite difference scheme.
Eng. Comput., 2022

Integrated radial basis functions (IRBFs) to simulate nonlinear advection-diffusion equations with smooth and non-smooth initial data.
Eng. Comput., 2022

Numerical simulation based on a combination of finite-element method and proper orthogonal decomposition to prevent the groundwater contamination.
Eng. Comput., 2022

A POD reduced-order model based on spectral Galerkin method for solving the space-fractional Gray-Scott model with error estimate.
Eng. Comput., 2022

Investigation of heat transport equation at the microscale via interpolating element-free Galerkin method.
Eng. 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.
Eng. Comput., 2022

Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method.
Appl. Math. Comput., 2022

2021
Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings.
Math. Comput. Simul., 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.
J. Comput. Phys., 2021

Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation.
Int. J. Comput. Math., 2021

A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives.
Eng. Comput., 2021

Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection-diffusion equation.
Eng. Comput., 2021

Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system.
Comput. Math. Appl., 2021

Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation.
Appl. Math. Comput., 2021

2020
Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation.
J. Comput. Appl. Math., 2020

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., 2020

Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation.
Comput. Math. Appl., 2020

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

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.
J. Comput. Appl. Math., 2019

Numerical solution of a time-fractional PDE in the electroanalytical chemistry by a local meshless method.
Eng. Comput., 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.
Eng. Comput., 2019

A Bayesian estimation method for variational phase-field fracture problems.
CoRR, 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.
Commun. Nonlinear Sci. Numer. Simul., 2019

Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation.
Comput. Math. Appl., 2019

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

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

2018
A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation.
Comput. Math. Appl., 2018

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., 2018

2017
An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate.
Numer. Algorithms, 2017

Evaluating a green supplier selection problem using a hybrid MODM algorithm.
J. Intell. Manuf., 2017

The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations.
J. Comput. Phys., 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.
Eng. Comput., 2017

A local meshless method for solving multi-dimensional Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck systems arising in plasma physics.
Eng. Comput., 2017

A finite element method for the numerical solution of Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives.
Eng. Comput., 2017

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., 2017

Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation.
Appl. Math. Lett., 2017

2016
Analysis of a meshless method for the time fractional diffusion-wave equation.
Numer. Algorithms, 2016

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

2015
Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations.
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.
J. Comput. Appl. Math., 2015

Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method.
J. Comput. Appl. Math., 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.
Comput. Math. Appl., 2015

2014
The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions.
Comput. Math. Appl., 2014

2013
Compact finite difference scheme for the solution of time fractional advection-dispersion equation.
Numer. Algorithms, 2013

A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term.
J. Comput. Phys., 2013

A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term.
Comput. Math. Appl., 2013


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