Mostafa Abbaszadeh

71 papers Journal 71

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A POD-enhanced simplified weak Galerkin method for solute transport problems. Math. Comput. Simul. Baharak Hooshyarfarzin, Mostafa Abbaszadeh, Mehdi Dehghan
2026	J	`jnl`	A local discontinuous Galerkin spectral element method for high-frequency wave propagation in computational acoustics. J. Comput. Phys. Zeynab Baralak, Mehdi Dehghan, Farhad Fakhar-Izadi, Mostafa Abbaszadeh
2026	J	`jnl`	Hybrid PCA-PINN framework for accurate and transparent ECG arrhythmia detection. Appl. Math. Comput. Fatemeh M. Monavar, Mostafa Abbaszadeh
2026	J	`jnl`	Numerical simulation of Klein-Gordon-Zakharov equations using conservative nonstandard finite difference method combined with scalar auxiliary variable scheme. Comput. Appl. Math. Mahdiehalsadat Fazayel, Farhad Fakhar-Izadi, Mehdi Dehghan, Mostafa Abbaszadeh
2025	J	`jnl`	A reduced-order least squares-support vector regression and isogeometric collocation method to simulate Cahn-Hilliard-Navier-Stokes equation. J. Comput. Phys. Mostafa Abbaszadeh, Amirreza Khodadadian, Maryam Parvizi, Mehdi Dehghan, Dunhui Xiao
2025	J	`jnl`	A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model. Comput. Math. Appl. Mostafa Abbaszadeh, Maryam Parvizi, Amirreza Khodadadian, Thomas Wick, Mehdi Dehghan
2025	J	`jnl`	Epileptic Seizure Prediction Using a Combination of Deep Learning, Time-Frequency Fusion Methods, and Discrete Wavelet Analysis. Algorithms Hadi Sadeghi Khansari, Mostafa Abbaszadeh, Gholamreza Heidary Joonaghany, Hamidreza Mohagerani, Fardin Faraji
2025	J	`jnl`	Error estimate of virtual element approximation for loaded time-fractional Hallaire's equation. J. Appl. Math. Comput. Mostafa Abbaszadeh, Mehdi Dehghan
2025	J	`jnl`	Mixed FEM for coupled unsteady fluid flow problems with CoRR Zeinab Gharibi, Mostafa Abbaszadeh, Mehdi Dehghan
2025	J	`jnl`	Numerical simulation and error estimation of the Davey-Stewartson equations with virtual element method. Appl. Math. Comput. Baharak Hooshyarfarzin, Mostafa Abbaszadeh, Mehdi Dehghan
2025	J	`jnl`	Numerical solutions for the Poisson-Nernst-Planck system using integrated radial basis function and moving least squares techniques with reduced order method. Eng. Comput. Ali Ebrahimijahan, Mostafa Abbaszadeh, Mehdi Dehghan
2025	J	`jnl`	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. J. Appl. Math. Comput. Amin Ghoreyshi, Mostafa Abbaszadeh, Mahmoud A. Zaky, Mehdi Dehghan
2025	J	`jnl`	Virtual element approximation and BDF2 time-discrete scheme for a partial integro-differential equation with a singular Abel's kernel. Appl. Math. Comput. Mostafa Abbaszadeh, Mahmoud A. Zaky, Mehdi Dehghan
2024	J	`jnl`	A meshless collocation method based on Pascal polynomial approximation and implicit closest point method for solving reaction-diffusion systems on surfaces. Eng. Comput. Hasan Zamani-Gharaghoshi, Mehdi Dehghan, Mostafa Abbaszadeh
2024	J	`jnl`	Extending matrix-vector framework on multiple relaxation time lattice Boltzmann method. Appl. Math. Lett. Reza MohammadiArani, Mehdi Dehghan, Mostafa Abbaszadeh
2024	J	`jnl`	Fourth-order exponential time differencing Runge-Kutta scheme and local meshless method to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials. Int. J. Comput. Math. Mohammad Ilati, Mostafa Abbaszadeh
2024	J	`jnl`	Investigation of phase-field models of tumor growth based on a reduced-order meshless Galerkin method. Eng. Comput. Mostafa Abbaszadeh, Mehdi Dehghan, Dunhui Xiao
2024	J	`jnl`	Morphodynamic shallow layer equations featuring bed load and suspended sediment with lattice Boltzmann method. Eng. Comput. Reza MohammadiArani, Mehdi Dehghan, Mostafa Abbaszadeh
2024	J	`jnl`	Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains. Math. Comput. Simul. Mostafa Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, Mehdi Dehghan
2023	J	`jnl`	On Enhancement of Text Classification and Analysis of Text Emotions Using Graph Machine Learning and Ensemble Learning Methods on Non-English Datasets. Algorithms Fatemeh Gholami, Zahed Rahmati, Alireza Mofidi, Mostafa Abbaszadeh
2023	J	`jnl`	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. Mostafa Abbaszadeh, Mohammad Ivan Azis, Mehdi Dehghan, Reza MohammadiArani
2022	J	`jnl`	A POD reduced-order model based on spectral Galerkin method for solving the space-fractional Gray-Scott model with error estimate. Eng. Comput. Mostafa Abbaszadeh, Mehdi Dehghan, Ionel Michael Navon
2022	J	`jnl`	A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation. Numer. Algorithms Mostafa Abbaszadeh, Mehdi Dehghan
2022	J	`jnl`	An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs. Int. J. Comput. Math. Mohammad Ivan Azis, Mostafa Abbaszadeh, Mehdi Dehghan
2022	J	`jnl`	Integrated radial basis functions (IRBFs) to simulate nonlinear advection-diffusion equations with smooth and non-smooth initial data. Eng. Comput. Ali Ebrahimijahan, Mehdi Dehghan, Mostafa Abbaszadeh
2022	J	`jnl`	Investigation of heat transport equation at the microscale via interpolating element-free Galerkin method. Eng. Comput. Mostafa Abbaszadeh, Mehdi Dehghan
2022	J	`jnl`	Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method. Appl. Math. Comput. Mostafa Abbaszadeh, Mostafa Bayat, Mehdi Dehghan
2022	J	`jnl`	Numerical simulation based on a combination of finite-element method and proper orthogonal decomposition to prevent the groundwater contamination. Eng. Comput. Mehdi Dehghan, Baharak Hooshyarfarzin, Mostafa Abbaszadeh
2022	J	`jnl`	Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems. J. Comput. Appl. Math. Zeinab Gharibi, Mehdi Dehghan, Mostafa Abbaszadeh
2022	J	`jnl`	Proper Orthogonal Decomposition-Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas. SIAM J. Sci. Comput. Reza MohammadiArani, Mehdi Dehghan, Mostafa Abbaszadeh
2022	J	`jnl`	Simulation of the incompressible Navier-Stokes via integrated radial basis function based on finite difference scheme. Eng. Comput. Ali Ebrahimijahan, Mehdi Dehghan, Mostafa Abbaszadeh
2022	J	`jnl`	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. Mostafa Abbaszadeh, Mehdi Dehghan
2021	J	`jnl`	A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives. Eng. Comput. Mostafa Abbaszadeh, Mehdi Dehghan
2021	J	`jnl`	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. Mostafa Abbaszadeh, Mehdi Dehghan, Amirreza Khodadadian, Nima Noii, Clemens Heitzinger, Thomas Wick
2021	J	`jnl`	Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation. Int. J. Comput. Math. Mostafa Abbaszadeh, Mehdi Dehghan
2021	J	`jnl`	Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings. Math. Comput. Simul. Ahmed S. Hendy, Mahmoud A. Zaky, Mostafa Abbaszadeh
2021	J	`jnl`	Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection-diffusion equation. Eng. Comput. Mostafa Abbaszadeh, Mehdi Dehghan
2021	J	`jnl`	Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system. Comput. Math. Appl. Zeinab Gharibi, Mehdi Dehghan, Mostafa Abbaszadeh
2021	J	`jnl`	Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation. Appl. Math. Comput. Mostafa Abbaszadeh, Mehdi Dehghan
2020	J	`jnl`	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. Mostafa Abbaszadeh, Mehdi Dehghan, Amirreza Khodadadian, Clemens Heitzinger
2020	J	`jnl`	Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. J. Comput. Appl. Math. Mostafa Abbaszadeh, Mehdi Dehghan, Yong Zhou
2020	J	`jnl`	Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. Comput. Math. Appl. Mostafa Abbaszadeh, Mehdi Dehghan
2020	J	`jnl`	Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. Comput. Math. Appl. Mostafa Abbaszadeh, Mehdi Dehghan, Amirreza Khodadadian, Clemens Heitzinger
2019	J	`jnl`	A Bayesian estimation method for variational phase-field fracture problems. CoRR Amirreza Khodadadian, Nima Noii, Maryam Parvizi, Mostafa Abbaszadeh, Thomas Wick, Clemens Heitzinger
2019	J	`jnl`	Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. Comput. Math. Appl. Mostafa Abbaszadeh, Mehdi Dehghan, Yong Zhou
2019	J	`jnl`	Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains. Comput. Math. Appl. Mostafa Abbaszadeh, Mehdi Dehghan
2019	J	`jnl`	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. Mehdi Dehghan, Mostafa Abbaszadeh
2019	J	`jnl`	Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. Appl. Math. Lett. Mostafa Abbaszadeh
2019	J	`jnl`	Numerical solution of a time-fractional PDE in the electroanalytical chemistry by a local meshless method. Eng. Comput. Gholamreza Karamali, Mehdi Dehghan, Mostafa Abbaszadeh
2019	J	`jnl`	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. Mehdi Dehghan, Mostafa Abbaszadeh
2019	J	`jnl`	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. Mehdi Dehghan, Mostafa Abbaszadeh
2018	J	`jnl`	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. Mehdi Dehghan, Mostafa Abbaszadeh
2018	J	`jnl`	A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. Comput. Math. Appl. Mehdi Dehghan, Mostafa Abbaszadeh
2017	J	`jnl`	A finite element method for the numerical solution of Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. Eng. Comput. Mehdi Dehghan, Mostafa Abbaszadeh
2017	J	`jnl`	A local meshless method for solving multi-dimensional Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck systems arising in plasma physics. Eng. Comput. Mehdi Dehghan, Mostafa Abbaszadeh
2017	J	`jnl`	An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. Numer. Algorithms Mostafa Abbaszadeh, Mehdi Dehghan
2017	J	`jnl`	Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition. Comput. Math. Appl. Mehdi Dehghan, Mostafa Abbaszadeh
2017	J	`jnl`	Evaluating a green supplier selection problem using a hybrid MODM algorithm. J. Intell. Manuf. Ehsan Afshar Bakeshlou, Alireza Arshadi Khamseh, Mohammad Ali Goudarzian Asl, Javad Sadeghi, Mostafa Abbaszadeh
2017	J	`jnl`	Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Appl. Math. Lett. Mehdi Dehghan, Mostafa Abbaszadeh, Weihua Deng
2017	J	`jnl`	Numerical investigation based on direct meshless local Petrov Galerkin (direct MLPG) method for solving generalized Zakharov system in one and two dimensions and generalized Gross-Pitaevskii equation. Eng. Comput. Mehdi Dehghan, Mostafa Abbaszadeh
2017	J	`jnl`	The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. J. Comput. Phys. Mehdi Dehghan, Mostafa Abbaszadeh
2016	J	`jnl`	Analysis of a meshless method for the time fractional diffusion-wave equation. Numer. Algorithms Mehdi Dehghan, Mostafa Abbaszadeh, Akbar Mohebbi
2016	J	`jnl`	Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. Comput. Math. Appl. Mehdi Dehghan, Mostafa Abbaszadeh
2015	J	`jnl`	A meshless numerical procedure for solving fractional reaction subdiffusion model via a new combination of alternating direction implicit (ADI) approach and interpolating element free Galerkin (EFG) method. Comput. Math. Appl. Mostafa Abbaszadeh, Mehdi Dehghan
2015	J	`jnl`	Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. J. Comput. Appl. Math. Mehdi Dehghan, Mostafa Abbaszadeh, Akbar Mohebbi
2015	J	`jnl`	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. J. Comput. Appl. Math. Mehdi Dehghan, Mostafa Abbaszadeh, Akbar Mohebbi
2015	J	`jnl`	Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. J. Comput. Appl. Math. Mehdi Dehghan, Mansour Safarpoor, Mostafa Abbaszadeh
2014	J	`jnl`	The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions. Comput. Math. Appl. Mehdi Dehghan, Mostafa Abbaszadeh, Akbar Mohebbi
2013	J	`jnl`	A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term. Comput. Math. Appl. Mostafa Abbaszadeh, Akbar Mohebbi
2013	J	`jnl`	A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term. J. Comput. Phys. Akbar Mohebbi, Mostafa Abbaszadeh, Mehdi Dehghan
2013	J	`jnl`	Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Numer. Algorithms Akbar Mohebbi, Mostafa Abbaszadeh