Mehdi Dehghan

Amirkabir University of Technology — IR

Mathematics · Physical Sciences

92h-index34.5kcitations804works3.22yr avg
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Research Topics

Fractional Differential Equations Solutions(298), Numerical methods in engineering(296), Differential Equations and Numerical Methods(235), Advanced Numerical Methods in Computational Mathematics(139), Iterative Methods for Nonlinear Equations(116)

Publications804 total

Numerical simulation of Klein–Gordon–Zakharov equations using conservative nonstandard finite difference method combined with scalar auxiliary variable scheme
Computational and Applied Mathematics·2025
An accurate and robust numerical method for solving distributed-order space–time fractional PDEs
Zeitschrift für angewandte Mathematik und Physik·2025
A Finite Block Method Framework for Nonlinear Fractional Integro‐Differential Equations
Mathematical Methods in the Applied Sciences·2025· 1 cited
An optimal stepwise optimization based approach to solve generalized linear matrix equation
Journal of the Franklin Institute·2025
Numerical solutions for the Poisson-Nernst-Planck system using integrated radial basis function and moving least squares techniques with reduced order method
Engineering With Computers·2025
A unified preconditioned minimal residual (PMR) algorithm for matrix problems: Linear systems, multiple right-hand sides linear systems, least squares problems, inversion and pseudo-inversion with application to color image encryption
Applied Numerical Mathematics·2025
Numerical simulation of Cahn–Hilliard systems on surfaces using the moving Taylor polynomial (MTP) approximation and the closest point method
Engineering Analysis with Boundary Elements·2025
A local discontinuous Galerkin spectral element method for high-frequency wave propagation in computational acoustics
Journal of Computational Physics·2025
Gradient-enhanced physics-informed neural networks for numerical approximation and parameter estimation of reaction–diffusion systems with chemotaxis and nonlocal terms
International Journal of Numerical Methods for Heat &amp Fluid Flow·2025· 1 cited
A fully-discrete mixed virtual element scheme for the unsteady Navier–Stokes equation coupled with a heat transfer equation under mixed boundary conditions
CALCOLO·2025
CuPINN: Optimizing PINNs through curvature minimization and residual landscape flattening
Computer Methods in Applied Mechanics and Engineering·2025· 3 cited
Mixed FEM for coupled unsteady fluid flow problems with $p$-type Brinkman-Forchheimer framework and its application for reverse-osmosis desalination
ArXiv.org·2025Open Access
Two high-order numerical schemes based on the Lagrange polynomials for solving a distributed-order time-fractional partial integro-differential equation on non-rectangular domains
Journal of Applied Mathematics and Computing·2025· 2 cited
Solvability, exact solution and momentum acceleration gradient-based iterative algorithm for general matrix equation $$ AXB+C\overline{X}D+EX^TF+GX^*H=J $$ and studying its applications in discrete-time antilinear systems and color image restoration
Numerical Algorithms·2025
High-order numerical solution for solving multi-dimensional Schrödinger-Poisson equation
Applied Numerical Mathematics·2025· 2 cited
A numerical investigation based on a Galerkin meshless approximation for the mathematical model of tumor-induced angiogenesis considering the role of matrix metalloproteinases-2
Engineering With Computers·2025· 1 cited
An Lρ spaces-based mixed virtual element method for the steady ρ-type Brinkman–Forchheimer problem based on the velocity–stress–vorticity formulation
IMA Journal of Numerical Analysis·2025· 1 cited
A generalized finite difference approach and splitting technique for the Kuramoto–Tsuzuki equation in multi-dimensional applications
Engineering Analysis with Boundary Elements·2025· 5 cited
Heat transfer enhancement in a tubular heat exchanger fitted with a novel baffle: A numerical study and experimental validation
International Journal of Thermal Sciences·2025· 9 cited
Virtual element approximation and BDF2 time-discrete scheme for a partial integro-differential equation with a singular Abel's kernel
Applied Mathematics and Computation·2025· 4 cited
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Frequent Co-authors

Abbas Saadatmandi(8), Fatemeh Shakeri(5), Jalil Manafian(4), Ali Shokri(4), Behnam Hashemi(3), Arezou Ghesmati(3), Masoud Hajarian(3), Akbar Mohebbi(3), Mostafa Abbaszadeh(3), Kourosh Parand(2), Davoud Mirzaei(2), Mehdi Ghatee(2), Mehdi Tatari(1), Alireza Rezaei(1), Sara Ghaderi(1), Robert Schaback(1), Mohammad-Reza Azizi(1), A. Lotfi(1), S. A. Yousefi(1), Ameneh Taleei(1)