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Engineering and Technology
Iran
2026
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Mathematics
Iran
2026

D-Index & Metrics

Mathematics

D-Index
104
Citations
40803
World Ranking
38
National Ranking
1

Engineering and Technology

D-Index
103
Citations
40641
World Ranking
125
National Ranking
1

Research.com Recognitions

  • 2026 - Research.com Engineering and Technology in Iran Leader Award
  • 2026 - Research.com Mathematics in Iran Leader Award
  • 2025 - Research.com Engineering and Technology in Iran Leader Award
  • 2025 - Research.com Mathematics in Iran Leader Award
  • 2023 - Research.com Engineering and Technology in Iran Leader Award
  • 2023 - Research.com Mathematics in Iran Leader Award
  • 2022 - Research.com Engineering and Technology in Iran Leader Award

Overview

Mehdi Dehghan is affiliated with Amirkabir University of Technology in Iran. Their research spans the fields of Engineering and Mathematics, with principal focus areas that include Computational Mechanics, Mechanics of Materials, Numerical Analysis, Modeling and Simulation, and Computational Theory and Mathematics.

Their work concentrates on several main topics such as Numerical methods in engineering, Fractional Differential Equations Solutions, Advanced Numerical Methods in Computational Mathematics, Differential Equations and Numerical Methods, Numerical methods for differential equations, Model Reduction and Neural Networks, and Matrix Theory and Algorithms.

Dehghan has contributed extensively to research articles published mainly in the following venues:

  • Engineering Analysis with Boundary Elements
  • Applied Numerical Mathematics
  • Engineering With Computers
  • Numerical Methods for Partial Differential Equations
  • Journal of Computational and Applied Mathematics

Some of their recent papers include:

  • Matrix multisplitting Picard-iterative method for solving generalized absolute value matrix equation, 2020, Applied Numerical Mathematics
  • Numerical and theoretical discussions for solving nonlinear generalized Benjamin-Bona-Mahony-Burgers equation based on the Legendre spectral element method, 2020, Numerical Methods for Partial Differential Equations

Frequent coauthors in Dehghan's publications are:

  • Mostafa Abbaszadeh
  • Akbar Shirilord
  • Zeinab Gharibi
  • Pouria Assari
  • Ali Ebrahimijahan

The body of work reflects an emphasis on developing and applying numerical methods to solve complex engineering and mathematical problems, particularly focusing on differential equations and computational techniques. The collaboration with other researchers has resulted in a breadth of contributions that address both theoretical and applied aspects of numerical mathematics and engineering analysis.

Best Publications

  • A NEW OPERATIONAL MATRIX FOR SOLVING FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS

    Abbas Saadatmandi;Mehdi Dehghan

  • Solving nonlinear fractional partial differential equations using the homotopy analysis method

    Mehdi Dehghan;Jalil Manafian;Abbas Saadatmandi

  • Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices

    Mehdi Dehghan

  • A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions

    Mehdi Dehghan;Ali Shokri

  • Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions

    Mehdi Dehghan;Ali Shokri

  • On the convergence of He's variational iteration method

    Mehdi Tatari;Mehdi Dehghan

  • Solution of delay differential equations via a homotopy perturbation method

    Fatemeh Shakeri;Mehdi Dehghan

  • Computational methods for solving fully fuzzy linear systems

    Mehdi Dehghan;Behnam Hashemi;Mehdi Ghatee

  • AN APPROXIMATION ALGORITHM FOR THE SOLUTION OF THE NONLINEAR LANE-EMDEN TYPE EQUATIONS ARISING IN ASTROPHYSICS USING HERMITE FUNCTIONS COLLOCATION METHOD

    K. Parand;Mehdi Dehghan;A.R. Rezaei;S.M. Ghaderi

  • Approximate solution of a differential equation arising in astrophysics using the variational iteration method

    Mehdi Dehghan;Fatemeh Shakeri

  • SOLUTION OF AN INTEGRO-DIFFERENTIAL EQUATION ARISING IN OSCILLATING MAGNETIC FIELDS USING HE'S HOMOTOPY PERTURBATION METHOD

    Mehdi Dehghan;Fatemeh Shakeri

  • A numerical method for solving the hyperbolic telegraph equation

    Mehdi Dehghan;Ali Shokri

  • A tau approach for solution of the space fractional diffusion equation

    Abbas Saadatmandi;Mehdi Dehghan

  • On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation

    Mehdi Dehghan

  • On generalized moving least squares and diffuse derivatives

    Davoud Mirzaei;Robert Schaback;Mehdi Dehghan

  • Iterative solution of fuzzy linear systems

    Mehdi Dehghan;Behnam Hashemi

  • The Sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients

    Abbas Saadatmandi;Mehdi Dehghan;Mohammad-Reza Azizi

  • Weighted finite difference techniques for the one-dimensional advection-diffusion equation

    Mehdi Dehghan

  • A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients

    Mehdi Dehghan;Ameneh Taleei

  • Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method

    Abbas Saadatmandi;Mehdi Dehghan

  • A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications

    Mehdi Dehghan

Frequent Co-Authors

Mostafa Abbaszadeh
Mostafa Abbaszadeh Amirkabir University of Technology
Masoud Hajarian
Masoud Hajarian Shahid Beheshti University
Akbar Mohebbi
Akbar Mohebbi University of Kashan
Mohsen Razzaghi
Mohsen Razzaghi Mississippi State University
Mehrdad Lakestani
Mehrdad Lakestani University of Tabriz
Karim Faez
Karim Faez Amirkabir University of Technology
Mohammad Reza Meybodi
Mohammad Reza Meybodi Amirkabir University of Technology
Majid Ahmadi
Majid Ahmadi University of Windsor
Kourosh Parand
Kourosh Parand Shahid Beheshti University
Amir Masoud Rahmani
Amir Masoud Rahmani National Yunlin University of Science and Technology

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