Mehdi Dehghan

ORCID

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 127

Top Venues

Eng. Comput.

Comput. Math. Appl.

J. Comput. Appl. Math.

Numer. Algorithms

Publications

Zeinab Gharibi, Mehdi Dehghan
Analysis of weak Galerkin mixed FEM based on the velocity-pseudostress formulation for Navier-Stokes equation on polygonal meshes. CoRR (2024)
Mahdi Jalili, Rezvan Salehi, Mehdi Dehghan
An efficient meshless method to approximate semi-linear stochastic evolution equations. Eng. Comput. 40 (1) (2024)
Hasan Zamani-Gharaghoshi, Mehdi Dehghan, Mostafa Abbaszadeh
A meshless collocation method based on Pascal polynomial approximation and implicit closest point method for solving reaction-diffusion systems on surfaces. Eng. Comput. 40 (1) (2024)
Mostafa Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, Mehdi Dehghan
Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains. Math. Comput. Simul. 216 (2024)
Majid Haghi, Mohammad Ilati, Mehdi Dehghan
A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg-Landau equation. Comput. Appl. Math. 42 (3) (2023)
Alireza Hosseinian, Pouria Assari, Mehdi Dehghan
The numerical solution of nonlinear delay Volterra integral equations using the thin plate spline collocation method with error analysis. Comput. Appl. Math. 42 (2) (2023)
Hassan Khosravian-Arab, Mehdi Dehghan
The sine and cosine diffusive representations for the Caputo fractional derivative. CoRR (2023)
Fatemeh Asadi-Mehregan, Pouria Assari, Mehdi Dehghan
On the numerical solution of a population growth model of a species living in a closed system based on the moving least squares scheme. Int. J. Comput. Math. 100 (8) (2023)
Niusha Narimani, Mehdi Dehghan
Predicting the effect of a combination drug therapy on the prostate tumor growth via an improvement of a direct radial basis function partition of unity technique for a diffuse-interface model. Comput. Biol. Medicine 157 (2023)
Mehdi Dehghan, Zeinab Gharibi, Ricardo Ruiz-Baier
Optimal Error Estimates of Coupled and Divergence-Free Virtual Element Methods for the Poisson-Nernst-Planck/Navier-Stokes Equations and Applications in Electrochemical Systems. J. Sci. Comput. 94 (3) (2023)
Hamed Mohebalizadeh, Hojatollah Adibi, Mehdi Dehghan
Well-posedness of space fractional Ginzburg-Landau equations involving the fractional Laplacian arising in a Bose-Einstein condensation and its kernel based approximation. Commun. Nonlinear Sci. Numer. Simul. 126 (2023)
Majid Haghi, Mohammad Ilati, Mehdi Dehghan
A fourth-order compact difference method for the nonlinear time-fractional fourth-order reaction-diffusion equation. Eng. Comput. 39 (2) (2023)
Mostafa Abbaszadeh, Mohammad Ivan Azis, Mehdi Dehghan, Reza MohammadiArani
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. 140 (2023)
Fatemeh Asadi-Mehregan, Pouria Assari, Mehdi Dehghan
The numerical solution of a mathematical model of the Covid-19 pandemic utilizing a meshless local discrete Galerkin method. Eng. Comput. 39 (5) (2023)
Mostafa Abbaszadeh, Mehdi Dehghan, Ionel Michael Navon
A POD reduced-order model based on spectral Galerkin method for solving the space-fractional Gray-Scott model with error estimate. Eng. Comput. 38 (3) (2022)
Mehdi Dehghan, Zeinab Gharibi
A unified analysis of fully mixed virtual element method for wormhole propagation arising in the petroleum engineering. Comput. Math. Appl. 121 (2022)
Mehdi Dehghan, Akbar Shirilord
A new approximation algorithm for solving generalized Lyapunov matrix equations. J. Comput. Appl. Math. 404 (2022)
Mehdi Dehghan, Zeinab Gharibi
An analysis of weak Galerkin finite element method for a steady state Boussinesq problem. J. Comput. Appl. Math. 406 (2022)
Hadi Mohammadi-Firouzjaei, Hojatollah Adibi, Mehdi Dehghan
A comparative study on interior penalty discontinuous Galerkin and enriched Galerkin methods for time-fractional Sobolev equation. Eng. Comput. 38 (6) (2022)
Mehdi Dehghan, Zeinab Gharibi
Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media. Comput. Math. Appl. 105 (2022)
Mehdi Dehghan, Akbar Shirilord
Approximating optimal parameters for generalized preconditioned Hermitian and skew-Hermitian splitting (GPHSS) method. Comput. Appl. Math. 41 (2) (2022)
Ali Ebrahimijahan, Mehdi Dehghan, Mostafa Abbaszadeh
Integrated radial basis functions (IRBFs) to simulate nonlinear advection-diffusion equations with smooth and non-smooth initial data. Eng. Comput. 38 (2) (2022)
Zeinab Gharibi, Mehdi Dehghan, Mostafa Abbaszadeh
Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems. J. Comput. Appl. Math. 416 (2022)
Niusha Narimani, Mehdi Dehghan
A direct RBF-PU method for simulating the infiltration of cytotoxic T-lymphocytes into the tumor microenvironment. Commun. Nonlinear Sci. Numer. Simul. 114 (2022)
Mostafa Abbaszadeh, Mostafa Bayat, Mehdi Dehghan
Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method. Appl. Math. Comput. 433 (2022)
Mahboubeh Najafi, Mehdi Dehghan, Bozidar Sarler, Gregor Kosec, Bostjan Mavric
Divergence-free meshless local Petrov-Galerkin method for Stokes flow. Eng. Comput. 38 (6) (2022)
Reza MohammadiArani, Mehdi Dehghan, Mostafa Abbaszadeh
Proper Orthogonal Decomposition-Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas. SIAM J. Sci. Comput. 44 (4) (2022)
Mostafa Abbaszadeh, Mehdi Dehghan
A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation. Numer. Algorithms 90 (1) (2022)
Mohammad Ivan Azis, Mostafa Abbaszadeh, Mehdi Dehghan
An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs. Int. J. Comput. Math. 99 (3) (2022)
Mehdi Dehghan, Akbar Shirilord
A fast computational algorithm for computing outer pseudo-inverses with numerical experiments. J. Comput. Appl. Math. 408 (2022)
Mehdi Dehghan, Akbar Shirilord
The use of homotopy analysis method for solving generalized Sylvester matrix equation with applications. Eng. Comput. 38 (3) (2022)
Rooholah Abedian, Mehdi Dehghan
A RBF-WENO Finite Difference Scheme for Non-linear Degenerate Parabolic Equations. J. Sci. Comput. 93 (2) (2022)
Mostafa Abbaszadeh, Mehdi Dehghan
Investigation of heat transport equation at the microscale via interpolating element-free Galerkin method. Eng. Comput. 38 (4) (2022)
Mehdi Dehghan, Akbar Shirilord
Three-step iterative methods for numerical solution of systems of nonlinear equations. Eng. Comput. 38 (2) (2022)
Mostafa Abbaszadeh, Mehdi Dehghan
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. 38 (2) (2022)
Mehdi Dehghan, Zeinab Gharibi, Ricardo Ruiz-Baier
Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations. CoRR (2022)
Mehdi Dehghan, Baharak Hooshyarfarzin, Mostafa Abbaszadeh
Numerical simulation based on a combination of finite-element method and proper orthogonal decomposition to prevent the groundwater contamination. Eng. Comput. 38 (4) (2022)
Mehdi Dehghan, Akbar Shirilord
Two lopsided TSCSP (LTSCSP) iteration methods for solution of complex symmetric positive definite linear systems. Eng. Comput. 38 (2) (2022)
Akbar Shirilord, Mehdi Dehghan
Single step iterative method for linear system of equations with complex symmetric positive semi-definite coefficient matrices. Appl. Math. Comput. 426 (2022)
Akbar Shirilord, Mehdi Dehghan
Closed-form solution of non-symmetric algebraic Riccati matrix equation. Appl. Math. Lett. 131 (2022)
Ali Ebrahimijahan, Mehdi Dehghan, Mostafa Abbaszadeh
Simulation of the incompressible Navier-Stokes via integrated radial basis function based on finite difference scheme. Eng. Comput. 38 (6) (2022)
Mehdi Dehghan, Nasim Shafieeabyaneh
Local radial basis function-finite-difference method to simulate some models in the nonlinear wave phenomena: regularized long-wave and extended Fisher-Kolmogorov equations. Eng. Comput. 37 (2) (2021)
Mohammad Shirzadi, Mehdi Dehghan
Generalized regularized least-squares approximation of noisy data with application to stochastic PDEs. Appl. Math. Lett. 111 (2021)
Mostafa Abbaszadeh, Mehdi Dehghan
Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation. Int. J. Comput. Math. 98 (11) (2021)
Mehdi Dehghan, Zeinab Gharibi
Virtual Element Method for Solving an Inhomogeneous Brusselator Model With and Without Cross-Diffusion in Pattern Formation. J. Sci. Comput. 89 (1) (2021)
Ali Ebrahimijahan, Mehdi Dehghan
The numerical solution of nonlinear generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations via the meshless method of integrated radial basis functions. Eng. Comput. 37 (1) (2021)
Vahid Mohammadi, Mehdi Dehghan, Stefano De Marchi
Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization. J. Comput. Appl. Math. 388 (2021)
Hamid Reza Kadkhodaei, Amir-Masoud Eftekhari-Moghadam, Mehdi Dehghan
Big data classification using heterogeneous ensemble classifiers in Apache Spark based on MapReduce paradigm. Expert Syst. Appl. 183 (2021)
Vahid Mohammadi, Mehdi Dehghan, Amirreza Khodadadian, Thomas Wick
Numerical investigation on the transport equation in spherical coordinates via generalized moving least squares and moving kriging least squares approximations. Eng. Comput. 37 (2) (2021)
Mehdi Dehghan, Zeinab Gharibi
Numerical analysis of fully discrete energy stable weak Galerkin finite element Scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model. Appl. Math. Comput. 410 (2021)
Mostafa Abbaszadeh, Mehdi Dehghan
A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives. Eng. Comput. 37 (3) (2021)
Mehdi Dehghan, Akbar Shirilord
HSS-like method for solving complex nonlinear Yang-Baxter matrix equation. Eng. Comput. 37 (3) (2021)
Zeinab Gharibi, Mehdi Dehghan, Mostafa Abbaszadeh
Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system. Comput. Math. Appl. 92 (2021)
Mehdi Dehghan, Akbar Shirilord
Solving complex Sylvester matrix equation by accelerated double-step scale splitting (ADSS) method. Eng. Comput. 37 (1) (2021)
Mostafa Abbaszadeh, Mehdi Dehghan
Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation. Appl. Math. Comput. 392 (2021)
Mostafa Abbaszadeh, Mehdi Dehghan
Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection-diffusion equation. Eng. Comput. 37 (2) (2021)
Mostafa Abbaszadeh, Mehdi Dehghan, Amirreza Khodadadian, Nima Noii, Clemens Heitzinger, Thomas Wick
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. 426 (2021)
Mohammad Shirzadi, Mehdi Dehghan, Ali Foroush Bastani
On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation. Commun. Nonlinear Sci. Numer. Simul. 84 (2020)
Majid Soheili, Amir-Masoud Eftekhari-Moghadam, Mehdi Dehghan
Statistical Analysis of the Performance of Rank Fusion Methods Applied to a Homogeneous Ensemble Feature Ranking. Sci. Program. 2020 (2020)
Mehdi Dehghan, Niusha Narimani
Radial basis function-generated finite difference scheme for simulating the brain cancer growth model under radiotherapy in various types of computational domains. Comput. Methods Programs Biomed. 195 (2020)
Mostafa Abbaszadeh, Mehdi Dehghan, Amirreza Khodadadian, Clemens Heitzinger
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. 368 (2020)
Mostafa Abbaszadeh, Mehdi Dehghan
Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. Comput. Math. Appl. 79 (3) (2020)
Mehdi Dehghan, Akbar Shirilord
Accelerated double-step scale splitting iteration method for solving a class of complex symmetric linear systems. Numer. Algorithms 83 (1) (2020)
Vahid Mohammadi, Mehdi Dehghan
Generalized moving least squares approximation for the solution of local and non-local models of cancer cell invasion of tissue under the effect of adhesion in one- and two-dimensional spaces. Comput. Biol. Medicine 124 (2020)
Mehdi Dehghan, Niusha Narimani
The element-free Galerkin method based on moving least squares and moving Kriging approximations for solving two-dimensional tumor-induced angiogenesis model. Eng. Comput. 36 (4) (2020)
Mostafa Abbaszadeh, Mehdi Dehghan, Amirreza Khodadadian, Clemens Heitzinger
Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. Comput. Math. Appl. 80 (1) (2020)
Mostafa Abbaszadeh, Mehdi Dehghan, Yong Zhou
Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. J. Comput. Appl. Math. 374 (2020)
Pouria Assari, Mehdi Dehghan
Application of dual-Chebyshev wavelets for the numerical solution of boundary integral equations with logarithmic singular kernels. Eng. Comput. 35 (1) (2019)
Mehdi Dehghan, Mostafa Abbaszadeh
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. 35 (3) (2019)
Mostafa Abbaszadeh, Mehdi Dehghan
Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains. Comput. Math. Appl. 78 (5) (2019)
Mehdi Dehghan, Akbar Shirilord
The double-step scale splitting method for solving complex Sylvester matrix equation. Comput. Appl. Math. 38 (3) (2019)
Mehdi Dehghan, Mostafa Abbaszadeh
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. 356 (2019)
Mehdi Dehghan, Mostafa Abbaszadeh
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. 68 (2019)
Pouria Assari, Mehdi Dehghan
Application of thin plate splines for solving a class of boundary integral equations arisen from Laplace's equations with nonlinear boundary conditions. Int. J. Comput. Math. 96 (1) (2019)
Saeed Kazem, Mehdi Dehghan
Semi-analytical solution for time-fractional diffusion equation based on finite difference method of lines (MOL). Eng. Comput. 35 (1) (2019)
Pouria Assari, Mehdi Dehghan
A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations. Appl. Math. Comput. 350 (2019)
Mehdi Dehghan, Akbar Shirilord
A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation. Appl. Math. Comput. 348 (2019)
Vahid Mohammadi, Davoud Mirzaei, Mehdi Dehghan
Numerical Simulation and Error Estimation of the Time-Dependent Allen-Cahn Equation on Surfaces with Radial Basis Functions. J. Sci. Comput. 79 (1) (2019)
Gholamreza Karamali, Mehdi Dehghan, Mostafa Abbaszadeh
Numerical solution of a time-fractional PDE in the electroanalytical chemistry by a local meshless method. Eng. Comput. 35 (1) (2019)
Mohammad Ilati, Mehdi Dehghan
DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates. Appl. Math. Comput. 346 (2019)
Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
On the numerical solution of Fredholm integral equations utilizing the local radial basis function method. Int. J. Comput. Math. 96 (7) (2019)
Mostafa Abbaszadeh, Mehdi Dehghan, Yong Zhou
Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. Comput. Math. Appl. 78 (5) (2019)
Mohammad Ilati, Mehdi Dehghan
Direct local boundary integral equation method for numerical solution of extended Fisher-Kolmogorov equation. Eng. Comput. 34 (1) (2018)
Hassan Khosravian-Arab, Mehdi Dehghan, M. R. Eslahchi
A new approach to improve the order of approximation of the Bernstein operators: theory and applications. Numer. Algorithms 77 (1) (2018)
Mania Sabouri, Mehdi Dehghan
A hk mortar spectral element method for the p-Laplacian equation. Comput. Math. Appl. 76 (7) (2018)
Mohammad Ilati, Mehdi Dehghan
Error analysis of a meshless weak form method based on radial point interpolation technique for Sivashinsky equation arising in the alloy solidification problem. J. Comput. Appl. Math. 327 (2018)
Mahmood Khaksar-e Oshagh, Mostafa Shamsi, Mehdi Dehghan
A wavelet-based adaptive mesh refinement method for the obstacle problem. Eng. Comput. 34 (3) (2018)
Pouria Assari, Mehdi Dehghan
A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions. J. Comput. Appl. Math. 333 (2018)
Mehdi Dehghan, Mostafa Abbaszadeh
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. 75 (4) (2018)
Seyed-Mohammad-Mahdi Kazemi, Mehdi Dehghan, Ali Foroush Bastani
On a new family of radial basis functions: Mathematical analysis and applications to option pricing. J. Comput. Appl. Math. 328 (2018)
Mehdi Dehghan, Mostafa Abbaszadeh
A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Comput. Math. Appl. 75 (8) (2018)
Mehdi Dehghan, Mansour Safarpoor
Application of the dual reciprocity boundary integral equation approach to solve fourth-order time-fractional partial differential equations. Int. J. Comput. Math. 95 (10) (2018)
Pouria Assari, Mehdi Dehghan
A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions. Appl. Math. Comput. 315 (2017)
Mohammad Ilati, Mehdi Dehghan
Application of direct meshless local Petrov-Galerkin (DMLPG) method for some Turing-type models. Eng. Comput. 33 (1) (2017)
Mehdi Dehghan, Vahid Mohammadi
Error analysis of method of lines (MOL) via generalized interpolating moving least squares (GIMLS) approximation. J. Comput. Appl. Math. 321 (2017)
Seyed-Mohammad-Mahdi Kazemi, Mehdi Dehghan, Ali Foroush Bastani
Asymptotic expansion of solutions to the Black-Scholes equation arising from American option pricing near the expiry. J. Comput. Appl. Math. 311 (2017)
Mehdi Dehghan, Mostafa Abbaszadeh, Weihua Deng
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Appl. Math. Lett. 73 (2017)
Zeinab Sedaghatjoo, Mehdi Dehghan, Hossein Hosseinzadeh
On uniqueness of numerical solution of boundary integral equations with 3-times monotone radial kernels. J. Comput. Appl. Math. 311 (2017)
Mehdi Dehghan, Vahid Mohammadi
A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method. Comput. Phys. Commun. 217 (2017)
Mehdi Dehghan, Mostafa Abbaszadeh
The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. J. Comput. Phys. 351 (2017)

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Publication Activity (10 Years)

Top Topics

Top Venues

Mehdi Dehghan