World's Best Scientists 2026 revealed!
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Rising Stars
2025

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Rising Stars

D-Index
42
Citations
4919
World Ranking
593
National Ranking
27

Mathematics

D-Index
43
Citations
5341
World Ranking
1738
National Ranking
15

Research.com Recognitions

  • 2025 - Research.com Rising Stars Award

Overview

Mostafa Abbaszadeh is affiliated with Amirkabir University of Technology in Iran and specializes in research areas at the intersection of engineering and mathematics. Their work predominantly focuses on numerical methods and computational approaches applied to engineering problems, particularly involving differential equations.

The primary fields of study for Abbaszadeh include:

  • Engineering
  • Mathematics

Within these broad areas, Abbaszadeh's research has contributed to several subfields, such as:

  • Mechanics of Materials
  • Computational Mechanics
  • Numerical Analysis
  • Modeling and Simulation
  • Statistical and Nonlinear Physics

The topics covered in Abbaszadeh's work encompass:

  • Numerical methods in engineering
  • Fractional Differential Equations Solutions
  • Advanced Numerical Methods in Computational Mathematics
  • Differential Equations and Numerical Methods
  • Model Reduction and Neural Networks
  • Numerical methods for differential equations
  • Nonlinear Waves and Solitons

Several recent papers authored or coauthored by Abbaszadeh illustrate the areas of their research interests:

  • 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, 2020, Applied Numerical Mathematics
  • 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, 2020, Computer Methods in Applied Mechanics and Engineering
  • Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation, 2020, Journal of Computational and Applied Mathematics

Abbaszadeh has also collaborated frequently with other researchers in their field. Frequent coauthors include:

  • Mehdi Dehghan
  • Ali Ebrahimijahan
  • Mahmoud A. Zaky
  • Amirreza Khodadadian
  • Moh. Ivan Azis

The scientist's publications appear in a range of journals, with frequent contributions to:

  • Engineering Analysis with Boundary Elements
  • Engineering With Computers
  • Applied Numerical Mathematics
  • International Journal of Numerical Methods for Heat & Fluid Flow
  • Numerical Methods for Partial Differential Equations

Best Publications

  • 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

    Akbar Mohebbi;Mostafa Abbaszadeh;Mehdi Dehghan

  • The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions

    Mehdi Dehghan;Mostafa Abbaszadeh;Akbar Mohebbi

  • Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations

    Mehdi Dehghan;Mansour Safarpoor;Mostafa Abbaszadeh

  • An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein–Gordon equations

    Mehdi Dehghan;Mostafa Abbaszadeh;Akbar Mohebbi

  • Evaluating a green supplier selection problem using a hybrid MODM algorithm

    Ehsan Afshar Bakeshlou;Alireza Arshadi Khamseh;Mohammad Ali Asl;Javad Sadeghi

  • 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

  • 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;Mostafa Abbaszadeh;Akbar Mohebbi

  • A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed-order fractional damped diffusion-wave equation

    Mehdi Dehghan;Mostafa Abbaszadeh

  • Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier–Stokes equation

    Mehdi Dehghan;Mostafa Abbaszadeh

  • An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate

    Mostafa Abbaszadeh;Mehdi Dehghan

  • Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method

    Mehdi Dehghan;Mostafa Abbaszadeh;Akbar Mohebbi

  • Analysis of a meshless method for the time fractional diffusion-wave equation

    Mehdi Dehghan;Mostafa Abbaszadeh;Akbar Mohebbi

  • A finite element method for the numerical solution of Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives

    Mehdi Dehghan;Mostafa Abbaszadeh

  • Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation

    Mehdi Dehghan;Mostafa Abbaszadeh;Akbar Mohebbi

  • Fourth-order numerical method for the space time tempered fractional diffusion-wave equation

    Mehdi Dehghan;Mostafa Abbaszadeh;Weihua Deng

  • A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation

    Mehdi Dehghan;Mostafa Abbaszadeh

  • The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations

    Mehdi Dehghan;Mostafa Abbaszadeh

  • The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations

    Mehdi Dehghan;Mostafa Abbaszadeh

  • An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch–Torrey equations

    Mehdi Dehghan;Mostafa Abbaszadeh

  • 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

    Mehdi Dehghan;Mostafa Abbaszadeh

  • A Bayesian estimation method for variational phase-field fracture problems

    Amirreza Khodadadian;Nima Noii;Maryam Parvizi;Mostafa Abbaszadeh

Frequent Co-Authors

Mehdi Dehghan
Mehdi Dehghan Amirkabir University of Technology
Akbar Mohebbi
Akbar Mohebbi University of Kashan
I. M. Navon
I. M. Navon Florida State University
Weihua Deng
Weihua Deng Lanzhou University

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