1
S.M.A. Ghoreyshi, M.A. Zaky, M. Abbaszadeh, M. Dehghan,
"An efficient numerical scheme for time-fractional partial integro-differential equations with time delay on rectangular and non-rectangular domains",
Computational and Applied Mathematics,
vol. 45,
no. 417,
pp.1-41,
2026.
2
M. Abbaszadeh,
"An IGA-POD-DEIM framework for efficient simulation of a nonlinear diffuse-interface model of tumour growth based on a coupled Cahn-Hilliard-reaction-diffusion model: Energy-stable and error analysis",
Journal of Computational Physics,
vol. 564,
no. ,
pp.1-50,
2026.
3
M. Abbaszadeh, Z. Gharibi, M. Dehghan,
"An efficient and CFL-conditionally energy-stable weak Galerkin framework for chemo-repulsion-Navier-Stokes equations",
Applied Numerical Mathematics,
vol. 228,
no. ,
pp.97-116,
2026.
4
S.M.A. Ghoreyshi, M. Abbaszadeh, M. Dehghan,
"Hybrid L-type time discretization and spectral-finite block methods for nonlinear fractional PDEs with neutral delay",
Communications In Nonlinear Science and Numerical Simulation,
vol. 161,
no. ,
pp.1-22,
2026.
5
N. Mohammadi, M. Abbaszadeh, M. Dehghan, J.A. Rad,
"DSA-PINN: A dynamic sample-adapted physics-informed neural network for nonlinear Fokker-Planck equations",
Physica A-Statistical Mechanics and Its Applications,
vol. 697,
no. ,
pp.1-25,
2026.
6
B. Hooshyarfarzin, M. Abbaszadeh, M. Dehghan,
"A POD-enhanced simplified weak Galerkin method for solute transport problems",
Mathematics and Computers In Simulation,
vol. 247,
no. ,
pp.318-346,
2026.
7
M. Farahan|i, M. Abbaszadeh, M. Dehghan,
"A new class of high-order methods for space-fractional reaction-diffusion systems with applications to the Gray-Scott model",
Applied Numerical Mathematics,
vol. 227,
no. ,
pp.299-321,
2026.
8
B. Mostafa, M. Dehghan, M. Abbaszadeh,
"A novel hybrid Physics-Informed DeepONet augmented by single-layer orthogonal chebyshev and legendre networks for nonlinear parametric partial differential equations",
Engineering With Computers,
vol. 42,
no. 135,
pp.1-26,
2026.
9
M. Safari, Z. Rahmati, M. Abbaszadeh, M. Shamsi,
"HBPP: A transformer-inspired architecture for physics-informed learning of parametric PDEs",
Neurocomputing,
vol. 0,
no. 0,
pp.134601-134633,
2026.
10
F. Moaven, M. Abbaszadeh,
"Hybrid PCA-PINN framework for accurate and transparent ECG arrhythmia detection",
Applied Mathematics and Computation,
vol. 519,
no. ,
pp.1-12,
2026.
11
A. Ebrahimijahan, M. Abbaszadeh, M. Dehghan,
"Efficient simulation of shallow water dynamics via integrated radial basis function-Proper Orthogonal Decomposition reduced-order modeling",
Engineering Analysis With Boundary Elements,
vol. 187,
no. ,
pp.1-20,
2026.
12
S.M.A. Ghoreyshi, M. Abbaszadeh, M. Dehghan,
"Numerical methods for the time-fractional diffusion equation: A Review",
Aut Journal of Mathematics and Computing,
vol. 7,
no. 2,
pp.213-269,
2026.
13
M. Fazayel, F. Fakharizadi, M. Dehghan, M. Abbaszadeh,
"Numerical simulation of Klein-Gordon-Zakharov equations using conservative nonstandard finite difference method combined with scalar auxiliary variable scheme",
Computational and Applied Mathematics,
vol. 45,
no. ,
pp.1-32,
2026.
14
M. Fazayel, M. Abbaszadeh, M. Dehghan, F. Fakharizadi,
"A Conservative Finite Difference Scheme of Second-Order Accuracy for the Solution of Davey-Stewartson Equations",
Mathematical Methods In The Applied Sciences,
vol. 0,
no. ,
pp.1-23,
2026.
15
M. Abbaszadeh,
"Crank-Nicolson and ADI Finite Element Approaches for the Space-Fractional Gray-Scott Model",
Communications On Applied Mathematics and Computation,
vol. ,
no. 1,
pp.1-26,
2026.
16
S. Rezvani Alishah, M. Abbaszadeh, M. Dehghan,
"Improving pandemic prediction: integrating Physics-Informed Neural Networks and symbolic regression for COVID-19 modeling",
Computer Methods In Biomechanics and Biomedical Engineering,
vol. .,
no. .,
pp.1-30,
2026.
17
A. Karimi, M. Abbaszadeh,
"An adaptive-fidelity gradient-enhanced PINN framework for option pricing under regime-switching models",
Results In Applied Mathematics,
vol. 29,
no. ,
pp.1-36,
2026.
18
S.M.A. Ghoreyshi, M. Abbaszadeh, M.A. Zaky, M. Dehghan,
"An accurate and robust numerical method for solving distributed-order space-time fractional PDEs",
Zeitschrift Fur Angewandte Mathematik Und Physik,
vol. 76,
no. ,
pp.1-27,
2025.
19
M.M. Haji Abbasi, Z. Rahmati, M. Abbaszadeh,
"Graph centrality and deep learning for enhanced portfolio management",
Egyptian Informatics Journal,
vol. 32,
no. 100858,
pp.1-12,
2025.
20
H. Zamani Gharaghoshi, M. Dehghan, M. Abbaszadeh,
"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,
vol. ,
no. ,
pp.-,
2025.
21
M. Abbaszadeh, S.M.A. Ghoreyshi, M. Dehghan,
"A Finite Block Method Framework for Nonlinear Fractional Integro-Differential Equations",
Mathematical Methods In The Applied Sciences,
vol. .,
no. ,
pp.1-19,
2025.
22
M. Nemati, M. Abbaszadeh, M. Dehghan,
"High-order numerical solution for solving multi-dimensional Schr?dinger-Poisson equation",
Applied Numerical Mathematics,
vol. ,
no. ,
pp.-,
2025.
23
Raoof Zare Moayedi, M. Abbaszadeh, M. Dehghan,
"CuPINN: Optimizing PINNs through curvature minimization and residual landscape flattening",
Computer Methods In Applied Mechanics and Engineering,
vol. ,
no. ,
pp.-,
2025.
24
Z. Baralak, M. Dehghan, F. Fakharizadi, M. Abbaszadeh,
"A local discontinuous Galerkin spectral element method for high-frequency wave propagation in computational acoustics",
Journal of Computational Physics,
vol. ,
no. ,
pp.-,
2025.
25
Ali Ebrahimijahan, M. Abbaszadeh, M. Dehghan,
"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,
vol. ,
no. ,
pp.-,
2025.
26
M. Abbaszadeh, Mahmoud A. Zaky, M. Dehghan,
"Virtual element approximation and BDF2 time-discrete scheme for a partial integro-differential equation with a singular Abel's kernel",
Applied Mathematics and Computation,
vol. 501,
no. ,
pp.1-17,
2025.
27
S.M.A. Ghoreyshi, M. Abbaszadeh, Mahmoud A. Zaky, M. Dehghan,
"Finite block method for nonlinear time-fractional partial integro-differential equations: Stability, convergence, and numerical analysis",
Applied Numerical Mathematics,
vol. 214,
no. ,
pp.1-35,
2025.
28
A. Yazdani, F. Fakharizadi, M. Abbaszadeh,
"Adaptive radial basis function collocation method for elliptic interface problems",
Engineering Analysis With Boundary Elements,
vol. ,
no. ,
pp.-,
2025.
29
S.M.A. Ghoreyshi, M. Abbaszadeh, Mahmoud A. Zaky, M. Dehghan,
"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,
vol. ,
no. ,
pp.-,
2025.
30
M. Pashapour, M. Abbaszadeh, M. Dehghan,
"Combining finite volume method and physics-informed neural networks for parameter identification and model selection in cell invasion models",
European Physical Journal Plus,
vol. ,
no. ,
pp.1-14,
2025.
31
M. Nemati, M. Abbaszadeh, Mahmoud A. Zaky, M. Dehghan,
"A generalized finite difference approach and splitting technique for the Kuramoto-Tsuzuki equation in multi-dimensional applications",
Engineering Analysis With Boundary Elements,
vol. 177,
no. ,
pp.1-19,
2025.
32
B. Hooshyarfarzin, M. Abbaszadeh, M. Dehghan,
"Numerical simulation and error estimation of the Davey-Stewartson equations with virtual element method",
Applied Mathematics and Computation,
vol. 489,
no. 0,
pp.1-36,
2025.
33
M. Abbaszadeh, M. Dehghan,
"Error estimate of virtual element approximation for loaded time-fractional Hallaire's equation",
Journal of Applied Mathematics and Computing,
vol. ,
no. 0,
pp.1-28,
2025.
34
M. Abbaszadeh, Maryam Parvizi, Amirreza Khodadadian, Thomas Wick, M. Dehghan,
"A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model",
Computers and Mathematics With Applications,
vol. ???,
no. 179,
pp.197-211,
2025.
35
Mojtaba Torkian, M. Abbaszadeh, Seyed Majid Alavi, Majid Haghverdi,
"A supervised learning algorithm to simulate tumor growth: Cahn-Hilliard model on surfaces",
Engineering Analysis With Boundary Elements,
vol. 173,
no. 106132,
pp.1-11,
2025.
36
M. Abbaszadeh, Amirreza Khodadadian, Maryam Parvizi, M. Dehghan, Dunhui Xiao,
"A reduced-order least squares-support vector regression and isogeometric collocation method to simulate Cahn-Hilliard-Navier-Stokes equation",
Journal of Computational Physics,
vol. 523,
no. 0,
pp.1-23,
2025.
37
N. Mohammadi, M. Abbaszadeh, M. Dehghan, Clemens Heitzinger,
"Parameter identification of shallow water waves using the generalized equal width equation and physics-informed neural networks: a conservative approximation scheme",
Nonlinear Dynamics,
vol. .,
no. 0,
pp.1-26,
2024.
38
M. Abbaszadeh, Mohammad Ivan Azis, M. Dehghan,
"A mesh-free method using Pascal polynomials for analyzing space-fractional PDEs in irregular biological geometries",
Engineering Analysis With Boundary Elements,
vol. 169,
no. 0,
pp.1-14,
2024.
39
R. Masoumzadeh, M. Abbaszadeh, M. Dehghan,
"Isogeometric collocation method to simulate phase-field crystal model",
International Journal of Numerical Methods For Heat and Fluid Flow,
vol. .,
no. 0,
pp.1-22,
2024.
40
Mohammad Ilati, M. Abbaszadeh,
"Fourth-order exponential time differencing Runge-Kutta scheme and local meshless method to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials",
International Journal of Computer Mathematics,
vol. .,
no. 0,
pp.1-20,
2024.
41
R. Mohammadi Arani, M. Dehghan, M. Abbaszadeh,
"Extending matrix-vector framework on multiple relaxation time lattice Boltzmann method",
Applied Mathematics Letters,
vol. 152,
no. 0,
pp.1-6,
2024.
42
M. Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, M. Dehghan,
"Optical solitons based on N-coupled nonlinear Schr?dinger equations and rational RBF partition of unity approach",
Engineering Analysis With Boundary Elements,
vol. 163,
no. 0,
pp.297-307,
2024.
43
B. Hooshyarfarzin, M. Abbaszadeh, M. Dehghan,
"Simulation of coupled elasticity problem with pressure equation: hydroelastic equation",
Multidiscipline Modeling In Materials and Structures,
vol. 20,
no. 4,
pp.577-646,
2024.
44
M. Abbaszadeh, Alireza Bagheri Salec, Taghreed Abdul-kareem Hatim Aal-ezirej,
"A radial basis function (RBF)-finite difference method for solving improved Boussinesq model with error estimation and description of solitary waves",
Numerical Methods For Partial Differential Equations,
vol. 40,
no. 3,
pp.1-30,
2024.
45
M. Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, M. Dehghan,
"Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains",
Mathematics and Computers In Simulation,
vol. 216,
no. 0,
pp.77-103,
2024.
46
R. Mohammadi Arani, M. Dehghan, M. Abbaszadeh,
"Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method",
Applied Numerical Mathematics,
vol. 196,
no. 0,
pp.83-103,
2024.
47
M. Abbaszadeh, Amirreza Khodadadian, Maryam Parvizi, M. Dehghan,
"Investigation of combustion model via the local collocation technique based on moving Taylor polynomial (MTP) approximation/domain decomposition method with error analysis",
Engineering Analysis With Boundary Elements,
vol. 159,
no. 0,
pp.288-301,
2024.
48
M. Abbaszadeh, Alireza Bagheri Salec, Taghreed Abdul-kareem Hatim Aal-ezirej,
"Simulation of Ginzburg-Landau equation via rational RBF partition of unity approach",
Optical and Quantum Electronics,
vol. 56,
no. 96,
pp.1-18,
2023.
49
M. Abbaszadeh, M. Dehghan, Dunhui Xiao,
"Investigation of phase-field models of tumor growth based on a reduced-order meshless Galerkin method",
Engineering With Computers,
vol. 40,
no. 0,
pp.2331-2347,
2023.
50
A. Ebrahimi Jahan, M. Dehghan, M. Abbaszadeh,
"A reduced-order model based on integrated radial basis functions with partition of unity method for option pricing under jump-diffusion models",
Engineering Analysis With Boundary Elements,
vol. 155,
no. 0,
pp.48-61,
2023.
51
F. Gholami, Z. Rahmati, A. Mofidi, M. Abbaszadeh,
"On Enhancement of Text Classification and Analysis of Text Emotions Using Graph Machine Learning and Ensemble Learning Methods on Non-English Datasets",
Algorithms,
vol. 16,
no. 10,
pp.470-484,
2023.
52
M. Abbaszadeh, Alireza Bagheri Salec, Alaa Salim Jebur,
"Integrated radial basis function technique to simulate the nonlinear system of time fractional distributed-order diffusion equation with graded time-mesh discretization",
Engineering Analysis With Boundary Elements,
vol. 156,
no. 0,
pp.57-69,
2023.
53
A. Ebrahimi Jahan, M. Dehghan, M. Abbaszadeh,
"Simulation of the coupled Schr?dinger-Boussinesq equations through integrated radial basis functions-partition of unity method",
Engineering Analysis With Boundary Elements,
vol. 153,
no. 0,
pp.51-67,
2023.
54
H. Zamani Gharaghoshi, M. Dehghan, M. Abbaszadeh,
"Numerical solution of Allen-Cahn model on surfaces via an effective method based on generalized moving least squares (GMLS) approximation and the closest point approach",
Engineering Analysis With Boundary Elements,
vol. 152,
no. 0,
pp.575-581,
2023.
55
R. Mohammadi Arani, M. Dehghan, M. Abbaszadeh,
"Morphodynamic shallow layer equations featuring bed load and suspended sediment with lattice Boltzmann method",
Engineering With Computers,
vol. 1,
no. 1,
pp.1-28,
2023.
56
M. Abbaszadeh, Mohammad Ivan Azis, M. Dehghan, R. Mohammadi Arani,
"Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method",
Computers and Mathematics With Applications,
vol. 140,
no. 0,
pp.195-210,
2023.
57
M. Humand, M. Khorsand, M. Mohammadpour, Guillermo J. Zarragoicoechea, M. Abbaszadeh,
"Advances in critical temperature shift modeling of confined pure fluids using the Kihara potential function",
Journal of Petroleum Exploration and Production Technology,
vol. 1,
no. 1,
pp.1-20,
2023.
58
M. Abbaszadeh, Alireza Bagheri Salec, Afaq Salman Alwan,
"Simulation of predator-prey system with two-species, two chemicals and an additional chemotactic influence via direct meshless local Petrov-Galerkin method",
International Journal of Numerical Methods For Heat and Fluid Flow,
vol. 33,
no. 8,
pp.2730-2756,
2023.
59
M. Abbaszadeh, Yasmin Kalhor, M. Dehghan, Marco Donatelli,
"A reduced-order model based on cubic B-spline basis function and SSP Runge-Kutta procedure to investigate option pricing under jump-diffusion models",
Engineering Analysis With Boundary Elements,
vol. 150,
no. 0,
pp.154-166,
2023.
60
M. Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, M. Dehghan,
"A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers equation",
Applied Numerical Mathematics,
vol. 187,
no. 0,
pp.262-276,
2023.
61
H. Zamani Gharaghoshi, M. Dehghan, M. Abbaszadeh,
"A meshless collocation method based on Pascal polynomial approximation and implicit closest point method for solving reaction-diffusion systems on surfaces",
Engineering With Computers,
vol. 1,
no. 0,
pp.1-10,
2023.
62
M. Abbaszadeh, A. Ebrahimi Jahan, M. Dehghan,
"Application of compact local integrated RBF (CLI-RBF) for solving transient forward and backward heat conduction problems with continuous and discontinuous sources",
Engineering Analysis With Boundary Elements,
vol. 146,
no. 0,
pp.733-748,
2023.
63
M. Dehghan, B. Hooshyarfarzin, M. Abbaszadeh,
"Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov-Rubenchik equations",
Engineering Analysis With Boundary Elements,
vol. 145,
no. 0,
pp.93-116,
2022.
64
M. Abbaszadeh, M. Dehghan, Amirreza Khodadadian, Clemens Heitzinger,
"Application of direct meshless local Petrov-Galerkin method for numerical solution of stochastic elliptic interface problems",
Numerical Methods For Partial Differential Equations,
vol. 38,
no. 5,
pp.1271-1292,
2022.
65
R. Mohammadi Arani, M. Dehghan, M. Abbaszadeh,
"Proper Orthogonal Decomposition--Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas",
Siam Journal On Scientific Computing,
vol. 44,
no. 4,
,
2022.
66
M. Dehghan, B. Hooshyarfarzin, M. Abbaszadeh,
"Numerical simulation based on a combination of finite-element method and proper orthogonal decomposition to prevent the groundwater contamination",
Engineering With Computers,
vol. 38,
no. 0,
pp.3445-3461,
2022.
67
Z. Gharibi, M. Dehghan, M. Abbaszadeh,
"Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems",
Journal of Computational and Applied Mathematics,
vol. 416,
no. 0,
pp.1-19,
2022.
68
M. Abbaszadeh, M. Bayat, M. Dehghan,
"Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method",
Applied Mathematics and Computation,
vol. 433,
no. 0,
pp.1-19,
2022.
69
E. Loghman, F. Bakhtiari Nejad, A. Kamalie Iglie, M. Abbaszadeh,
"Nonlinear random vibrations of micro-beams with fractional viscoelastic core",
Probabilistic Engineering Mechanics,
vol. 69,
no. 103274,
,
2022.
70
Moh. Ivan Azis, M. Abbaszadeh, M. Dehghan,
"An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs",
International Journal of Computer Mathematics,
vol. 99,
no. 3,
pp.575-590,
2022.
71
Hamid Mesgarani, Mahya Kermani, M. Abbaszadeh,
"Application of SPD-RBF method of lines for solving nonlinear advection-diffusion-reaction equation with variable coefficients",
International Journal of Numerical Methods For Heat and Fluid Flow,
vol. 32,
no. 2,
pp.850-886,
2022.
72
M. Abbaszadeh, Hossein Pourbashash, Mahmood Khaksar-e Oshagh,
"The local meshless collocation method for solving 2D fractional Klein-Kramers dynamics equation on irregular domains",
International Journal of Numerical Methods For Heat and Fluid Flow,
vol. 32,
no. 1,
pp.41-61,
2022.
73
A. Ebrahimi Jahan, M. Dehghan, M. Abbaszadeh,
"Simulation of plane elastostatic equations of anisotropic functionally graded materials by integrated radial basis function based on finite difference approach",
Engineering Analysis With Boundary Elements,
vol. 134,
no. 0,
pp.553-570,
2022.
74
Ahmed S. Hendy, Mahmoud A. Zaky, M. Abbaszadeh,
"Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings",
Mathematics and Computers In Simulation,
vol. 190,
no. 0,
pp.1370-1378,
2021.
75
M. Abbaszadeh, M. Bayat, M. Dehghan,
"The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation",
Wave Motion,
vol. 107,
no. 0,
pp.1-19,
2021.
76
E. Loghman, F. Bakhtiari Nejad, A. Kamalie Iglie, M. Abbaszadeh, Marco Amabili,
"Nonlinear vibration of fractional viscoelastic micro-beams",
International Journal of Non-Linear Mechanics,
vol. 137,
no. 0,
pp.1-10,
2021.
77
M. Dehghan, B. Hooshyarfarzin, M. Abbaszadeh,
"Proper orthogonal decomposition Pascal polynomial-based method for solving Sobolev equation",
International Journal of Numerical Methods For Heat and Fluid Flow,
vol. 32,
no. 7,
pp.2506-2542,
2021.
78
E. Loghman, A. Kamalie Iglie, F. Bakhtiari Nejad, M. Abbaszadeh, Amabili Marco,
"On the combined Shooting-Pseudo-Arclength method for finding frequency response of nonlinear fractional-order differential equations",
Journal of Sound and Vibration,
vol. 516,
no. 0,
pp.1-21,
2021.
79
M. Abbaszadeh, M. Dehghan, Mohammad Ivan Azis,
"The meshless local Petrov-Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials related to incompressible flow",
Engineering Analysis With Boundary Elements,
vol. 132,
no. 0,
pp.469-480,
2021.
80
M. Abbaszadeh, M. Dehghan,
"A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation",
Numerical Algorithms,
vol. 90,
no. 0,
pp.271-299,
2021.
81
M. Abbaszadeh, M. Dehghan,
"A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation",
Applied Numerical Mathematics,
vol. 169,
no. 0,
pp.44-63,
2021.
82
M. Abbaszadeh, M. Dehghan,
"Investigation of heat transport equation at the microscale via interpolating element-free Galerkin method",
Engineering With Computers,
vol. 38,
no. 0,
pp.3317-3333,
2021.
83
Z. Gharibi, M. Dehghan, M. Abbaszadeh,
"Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system",
Computers and Mathematics With Applications,
vol. 92,
no. 0,
pp.88-108,
2021.
84
E. Loghman, A. Kamalie Iglie, F. Bakhtiari Nejad, M. Abbaszadeh,
"Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam",
Applied Mathematical Modelling,
vol. 92,
no. 0,
pp.297-314,
2021.
85
M. Abbaszadeh, M. Bayat, M. Dehghan, Mohammad Ivan Azis,
"Investigation of generalized Couette hydromagnetic flow of two-step exothermic chemical reaction in a channel via the direct meshless local Petrov-Galerkin method",
Engineering Analysis With Boundary Elements,
vol. 125,
no. 0,
pp.178-189,
2021.
86
M. Abbaszadeh, M. Dehghan,
"The proper orthogonal decomposition modal spectral element method for two-dimensional viscoelastic equation",
Thin-Walled Structures,
vol. 161,
no. 107429,
pp.1-14,
2021.
87
M. Abbaszadeh, M. Dehghan,
"Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection-diffusion equation",
Engineering With Computers,
vol. 37,
no. 0,
pp.873-889,
2021.
88
M. Abbaszadeh, M. Dehghan,
"The Crank-Nicolson/interpolating stabilized element-free Galerkin method to investigate the fractional Galilei invariant advection-diffusion equation",
Mathematical Methods In The Applied Sciences,
vol. 44,
no. 0,
pp.2752-2768,
2021.
89
M. Abbaszadeh, M. Dehghan,
"Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation",
Applied Mathematics and Computation,
vol. 392,
no. 125718,
pp.1-21,
2021.
90
M. Abbaszadeh, M. 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",
Journal of Computational Physics,
vol. 426,
no. 109875,
pp.1-52,
2021.
91
M. Abbaszadeh, M. Golmohammadi, M. Dehghan,
"Simulation of activator-inhibitor dynamics based on cross-diffusion Brusselator reaction-diffusion system via a differential quadrature-radial point interpolation method (DQ-RPIM) technique",
European Physical Journal Plus,
vol. 136,
no. 59,
pp.1-26,
2021.
92
Mohammad Ivan Azis, M. Abbaszadeh, M. Dehghan, Imam Solekhudin,
"A boundary-only integral equation method for parabolic problems of another class of anisotropic functionally graded materials",
Materials Today Communications,
vol. 26,
no. 101956,
pp.1-9,
2020.
93
M. Dehghan, N. Shafieeabyaneh, M. Abbaszadeh,
"Application of spectral element method for solving Sobolev equations with error estimation",
Applied Numerical Mathematics,
vol. 158,
no. 0,
pp.439-462,
2020.
94
M. Abbaszadeh, M. Dehghan,
"Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model",
Engineering Analysis With Boundary Elements,
vol. 119,
no. 0,
pp.151-161,
2020.
95
M. Dehghan, N. Shafieeabyaneh, M. Abbaszadeh,
"Numerical and theoretical discussions for solving nonlinear generalized Benjamin-Bona-Mahony-Burgers equation based on the Legendre spectral element method",
Numerical Methods For Partial Differential Equations,
vol. 37,
no. 1,
pp.360-382,
2020.
96
M. Abbaszadeh, M. Dehghan,
"Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems",
Engineering Analysis With Boundary Elements,
vol. 118,
no. 0,
pp.188-201,
2020.
97
E. Loghman, A. Kamalie Iglie, F. Bakhtiari Nejad, M. Abbaszadeh,
"Analysis of free and forced vibrations of a viscoelastic micro-beam, using Kelvin-Voigt fractional viscoelastic model",
,
vol. 9,
no. 17,
pp.27-38,
2020.
98
A. Ebrahimi Jahan, M. Dehghan, M. Abbaszadeh,
"Compact local integrated radial basis functions (Integrated RBF) method for solving system of non-linear advection-diffusion-reaction equations to prevent the groundwater contamination",
Engineering Analysis With Boundary Elements,
vol. 121,
no. 0,
pp.50-64,
2020.
99
M. Abbaszadeh, M. Dehghan,
"Meshless local numerical procedure based on interpolating moving least squares approximation and exponential time differencing fourth-order Runge-Kutta (ETDRK4) for solving stochastic parabolic interface problems",
Engineering With Computers,
vol. 38,
no. 1,
pp.71-91,
2020.
100
M. Abbaszadeh, M. Dehghan,
"Numerical and analytical investigations for solving the inverse tempered fractional diffusion equation via interpolating element-free Galerkin (IEFG) method.",
Journal of Thermal Analysis and Calorimetry,
vol. 143,
no. 0,
pp.1917-1933,
2020.
101
M. Abbaszadeh, M. Dehghan, Yong Zhou,
"Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation",
Journal of Computational and Applied Mathematics,
vol. 374,
no. 0,
pp.1-16,
2020.
102
M. Abbaszadeh, M. Dehghan,
"A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation",
Applied Numerical Mathematics,
vol. 158,
no. 0,
pp.271-291,
2020.
103
M. Abbaszadeh, M. Dehghan, Amirreza Khodadadian, Thomas Wick,
"Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection-reaction-diffusion models",
Applicable Analysis,
vol. 101,
no. 6,
pp.2279-2294,
2020.
104
M. Abbaszadeh, M. 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",
Engineering With Computers,
vol. 38,
no. 0,
pp.1543-1557,
2020.
105
Amirreza Khodadadian, Nima Noii, Maryam Parvizi, M. Abbaszadeh, Thomas Wick, Clemens Heitzinger,
"A Bayesian estimation method for variational phase-field fracture problems",
Computational Mechanics,
vol. 66,
no. 0,
pp.827-849,
2020.
106
M. Abbaszadeh, M. Dehghan, Amirreza Khodadadian, Clemens Heitzinger,
"Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation",
Computers and Mathematics With Applications,
vol. 80,
no. 1,
pp.247-262,
2020.
107
M. Abbaszadeh, M. Dehghan,
"Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method",
Computer Methods In Applied Mechanics and Engineering,
vol. 364,
no. 112914,
pp.1-28,
2020.
108
M. Abbaszadeh, M. Dehghan, Ionel Michael Navon,
"A proper orthogonal decomposition variational multiscale meshless interpolating element?free Galerkin method for incompressible magnetohydrodynamics flow",
International Journal For Numerical Methods In Fluids,
vol. 92,
no. 10,
pp.1415-1436,
2020.
109
M. Abbaszadeh, M. 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",
Journal of Computational and Applied Mathematics,
vol. 368,
no. 0,
pp.1-17,
2020.
110
M. Abbaszadeh, M. Dehghan,
"Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique",
Applied Numerical Mathematics,
vol. 150,
no. 0,
pp.274-294,
2020.
111
M. Abbaszadeh, H. Amjadian,
"Second-Order Finite Difference/Spectral Element Formulation for Solving the Fractional Advection-Diffusion Equation",
Communications On Applied Mathematics and Computation,
vol. 1,
no. 1,
pp.1-17,
2020.
112
M. Abbaszadeh, M. Dehghan,
"Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation",
Applied Numerical Mathematics,
vol. 154,
no. 0,
pp.172-186,
2020.
113
M. Abbaszadeh, M. Dehghan,
"An upwind local radial basis functions-differential quadrature (RBFs-DQ) technique to simulate some models arising in water sciences",
Ocean Engineering,
vol. 197,
no. 0,
pp.1-26,
2020.
114
M. Abbaszadeh, M. Dehghan,
"A meshless numerical investigation based on the RBF-QR approach for elasticity problems",
.Aut Journal of Mathematics and Computing,
vol. 1,
no. 1,
pp.1-15,
2020.
115
M. Abbaszadeh, M. Dehghan,
"A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives",
Engineering With Computers,
vol. 37,
no. 0,
pp.2173-2182,
2020.
116
M. Abbaszadeh, M. Dehghan,
"A reduced order finite difference method for solving space-fractional reaction-diffusion systems: The Gray-Scott model",
European Physical Journal Plus,
vol. 134,
no. 0,
pp.620-635,
2019.
117
M. Abbaszadeh, M. Dehghan,
"Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains",
Computers and Mathematics With Applications,
vol. 79,
no. 0,
pp.876-888,
2019.
118
M. Dehghan, M. Abbaszadeh, Amirreza Khadadadian, Clemens Heitzinger,
"Galerkin proper orthogonal decomposition-reduced order method (POD-ROM) for solving generalized Swift-Hohenberg equation",
International Journal of Numerical Methods For Heat and Fluid Flow,
vol. 29,
no. 8,
pp.2642-2665,
2019.
119
M. Abbaszadeh, M. Dehghan, Yong Zhou,
"Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation",
Computers and Mathematics With Applications,
vol. 78,
no. 0,
pp.1772-1792,
2019.
120
M. Dehghan, M. 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",
Engineering With Computers,
vol. 35,
no. 0,
pp.875-892,
2019.
121
M. Abbaszadeh, M. Dehghan,
"The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations",
Engineering Analysis With Boundary Elements,
vol. 106,
no. 0,
pp.300-308,
2019.
122
M. Abbaszadeh, M. Dehghan,
"Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method",
Applied Numerical Mathematics,
vol. 145,
no. 0,
pp.488-506,
2019.
123
M. Abbaszadeh, M. Dehghan,
"Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains",
Computers and Mathematics With Applications,
vol. 78,
no. 0,
pp.1531-1547,
2019.
124
M. Abbaszadeh, M. Dehghan,
"The interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis",
Nonlinear Dynamics,
vol. 96,
no. 0,
pp.1345-1365,
2019.
125
Amirreza Khadadadian, Maryam Parvizi, M. Abbaszadeh, M. Dehghan, Clemens Heitzinger,
"A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation",
Computational Mechanics,
vol. 64,
no. 0,
pp.937-949,
2019.
126
M. Dehghan, M. 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",
Journal of Computational and Applied Mathematics,
vol. 356,
no. 0,
pp.314-328,
2019.
127
Gholamreza Karamali, M. Abbaszadeh, M. Dehghan,
"The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system",
Computational Methods For Differential Equations,
vol. 6,
no. 2,
pp.215-237,
2019.
128
M. Abbaszadeh, Amirreza Khodadadian, Maryam Parvizi, M. Dehghan, Clemens Heitzinger,
"A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations",
Engineering Analysis With Boundary Elements,
vol. 98,
no. 0,
pp.253-264,
2019.
129
Gholamreza Karamali, M. Dehghan, M. Abbaszadeh,
"Numerical solution of a time-fractional PDE in the electroanalytical chemistry by a local meshless method",
Engineering With Computers,
vol. 35,
no. 1,
pp.87-100,
2019.
130
M. Abbaszadeh,
"Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation",
Applied Mathematics Letters,
vol. 88,
no. 0,
pp.179-185,
2019.
131
M. Dehghan, M. Abbaszadeh,
"Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method",
Applied Numerical Mathematics,
vol. 137,
no. 0,
pp.252-273,
2018.
132
M. Dehghan, M. Abbaszadeh,
"The space-splitting idea combined with local radial basis function meshless approach to simulate conservation laws equations",
Alexandria Engineering Journal,
vol. 57,
no. 0,
pp.1137-1156,
2018.
1
A. Mohebbi---M. Abbaszadeh---M. Dehghan,
"The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics",
Engineering Analysis With Boundary Elements,
vol. 2,
no. 37,
pp.475-485,
2013.