Mehdi Dehghan

Employment

• Amirkabir University of Technology

Education

Education history is unavailable.

Projects & Funding

Projects & funding information is unavailable.

Publications (902)

• Gradient adaptive parameter method for coupled matrix equations with applications in transient heat conduction problem and image steganography
  Applied Mathematics and Computation 2026 DOI: 10.1016/j.amc.2026.130226
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• A local discontinuous Galerkin method for the cubic-quintic complex Ginzburg-Landau equation: Vortex solitons and collision dynamics
  Zeynab Baralak, Farhad Fakhar–Izadi, Mehdi Dehghan +1 more
  Applied Numerical Mathematics 2026 DOI: 10.1016/j.apnum.2026.06.005
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• A stabilization-free mixed virtual element approximation for unsteady non-Newtonian pseudoplastic Stokes flows
  Mathematical Models and Methods in Applied Sciences 2026 DOI: 10.1142/S0218202526500454
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• ARUS-PINN: Data-driven modeling of cell invasion and wound healing with a new adaptive physics-informed neural networks and time–space fractional Fisher–KPP equations
  Mahya Pashapour, Mostafa Abbaszadeh, Mehdi Dehghan
  Engineering Analysis with Boundary Elements 2026 DOI: 10.1016/j.enganabound.2026.106941
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• An efficient and CFL-conditionally energy-stable weak Galerkin framework for chemo-repulsion-Navier-Stokes equations
  Mostafa Abbaszadeh, Zeinab Gharibi, Mehdi Dehghan
  Applied Numerical Mathematics 2026 DOI: 10.1016/j.apnum.2026.03.008
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• Gradient neural network for time-varying matrix inversion with momentum acceleration and applications in image encryption
  Computational and Applied Mathematics 2026 DOI: 10.1007/s40314-026-03777-3
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• A POD-enhanced simplified weak Galerkin method for solute transport problems
  Baharak Hooshyarfarzin, Mostafa Abbaszadeh, Dehghan Mehdi
  Mathematics and Computers in Simulation 2026 DOI: 10.1016/j.matcom.2026.03.003
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• A new class of high-order methods for space-fractional reaction-diffusion systems with applications to the Gray-Scott model
  Masood Farahani, Mostafa Abbaszadeh, Mehdi Dehghan
  Applied Numerical Mathematics 2026 DOI: 10.1016/j.apnum.2026.03.006
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• Mixed FEM for Coupled Unsteady Fluid Flow Problems with \(p\)-Type Brinkman–Forchheimer Framework and its Application for Reverse-Osmosis Desalination
  Zeinab Gharibi, Mostafa Abbaszadeh, Mehdi Dehghan
  SIAM Journal on Numerical Analysis 2026 DOI: 10.1137/25M1767650
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• A novel hybrid Physics-Informed DeepONet augmented by single-layer orthogonal chebyshev and legendre networks for nonlinear parametric partial differential equations
  Engineering with Computers 2026 DOI: 10.1007/s00366-026-02370-w
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• A Conservative Finite Difference Scheme of Second‐Order Accuracy for the Solution of Davey–Stewartson Equations
  Mahdiehalsadat Fazayel, Mostafa Abbaszadeh, Mehdi Dehghan +1 more
  Mathematical Methods in the Applied Sciences 2026 DOI: 10.1002/mma.70653
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• Efficient simulation of shallow water dynamics via integrated radial basis function—Proper Orthogonal Decomposition reduced-order modeling
  Ali Ebrahimijahan, Mostafa Abbaszadeh, Mehdi Dehghan
  Engineering Analysis with Boundary Elements 2026 DOI: 10.1016/j.enganabound.2026.106691
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• 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 2026 DOI: 10.1093/imanum/draf029
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• Numerical simulation of Klein–Gordon–Zakharov equations using conservative nonstandard finite difference method combined with scalar auxiliary variable scheme
  Computational and Applied Mathematics 2026 DOI: 10.1007/s40314-025-03518-y
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• A Finite Block Method Framework for Nonlinear Fractional Integro‐Differential Equations
  Mostafa Abbaszadeh, Amin Ghoreyshi, Mehdi Dehghan
  Mathematical Methods in the Applied Sciences 2026 DOI: 10.1002/mma.70234
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• Constructing efficient bases from B-Spline functions and solving fractional optimal control problems
  Journal of Applied Mathematics and Computing 2026 DOI: 10.1007/s12190-025-02756-x
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• 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 2026 DOI: 10.1016/j.apnum.2025.10.012
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• A local discontinuous Galerkin spectral element method for high-frequency wave propagation in computational acoustics
  Zeynab Baralak, Mehdi Dehghan, Farhad Fakhar–Izadi +1 more
  Journal of Computational Physics 2026 DOI: 10.1016/j.jcp.2025.114431
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• A Discrete Collocation Technique Using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models
  Advances in Applied Mathematics and Mechanics 2026 DOI: 10.4208/aamm.OA-2024-0018
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• A Discrete Collocation Technique Using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models
  Advances in Applied Mathematics and Mechanics 2026 DOI: 10.4208/AAMM.OA-2024-00182026
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