1
GHOREYSHI SEYED MOHAMMAD AMIN ، Zaky Mahmoud A. ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "An efficient numerical scheme for time-fractional partial integro-differential equations with time delay on rectangular and non-rectangular domains", Computational and Applied Mathematics, 2026 Dec
vol. 45,
no. 417,
pp.1-41,
2026.
2
Abbaszadeh Mostafa, "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, 2026 Nov
vol. 564,
no. ,
pp.1-50,
2026.
3
GHOREYSHI SEYED MOHAMMAD AMIN ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Hybrid L-type time discretization and spectral-finite block methods for nonlinear fractional PDEs with neutral delay", Communications In Nonlinear Science and Numerical Simulation, 2026 Oct
vol. 161,
no. ,
pp.1-22,
2026.
4
Abbaszadeh Mostafa ، Gharibi Zeinab ، DEHGHAN MEHDI, "An efficient and CFL-conditionally energy-stable weak Galerkin framework for chemo-repulsion-Navier-Stokes equations", Applied Numerical Mathematics, 2026 Oct
vol. 228,
no. ,
pp.97-116,
2026.
5
FARAHAN|I MASOOD ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "A new class of high-order methods for space-fractional reaction-diffusion systems with applications to the Gray-Scott model", Applied Numerical Mathematics, 2026 Sep
vol. 227,
no. ,
pp.299-321,
2026.
6
MOHAMMADI NIMA ، Abbaszadeh Mostafa ، DEHGHAN MEHDI ، Rad Jamal Amani, "DSA-PINN: A dynamic sample-adapted physics-informed neural network for nonlinear Fokker-Planck equations", Physica A-Statistical Mechanics and Its Applications, 2026 Sep
vol. 697,
no. ,
pp.1-25,
2026.
7
HOOSHYARFARZIN BAHARAK ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "A POD-enhanced simplified weak Galerkin method for solute transport problems", Mathematics and Computers In Simulation, 2026 Sep
vol. 247,
no. ,
pp.318-346,
2026.
8
MOSTAFA BAYAT ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "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 Aug
vol. 42,
no. 135,
pp.1-26,
2026.
9
SAFARI MAHDI ، RAHMATI ZAHED ، Abbaszadeh Mostafa ، Shamsi Mostafa, "HBPP: A transformer-inspired architecture for physics-informed learning of parametric PDEs", Neurocomputing, 2026 Jul
vol. 0,
no. 0,
pp.134601-134633,
2026.
10
Ebrahimijahan Ali ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Efficient simulation of shallow water dynamics via integrated radial basis function-Proper Orthogonal Decomposition reduced-order modeling", Engineering Analysis With Boundary Elements, 2026 Jun
vol. 187,
no. ,
pp.1-20,
2026.
11
MOAVEN FATEMEH ، Abbaszadeh Mostafa, "Hybrid PCA-PINN framework for accurate and transparent ECG arrhythmia detection", Applied Mathematics and Computation, 2026 Jun
vol. 519,
no. ,
pp.1-12,
2026.
12
FAZAYEL MAHDIEHALSADAT ، FAKHARIZADI FARHAD ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "Numerical simulation of Klein-Gordon-Zakharov equations using conservative nonstandard finite difference method combined with scalar auxiliary variable scheme", Computational and Applied Mathematics, 2026 Apr
vol. 45,
no. ,
pp.1-32,
2026.
13
GHOREYSHI SEYED MOHAMMAD AMIN ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Numerical methods for the time-fractional diffusion equation: A Review", Aut Journal of Mathematics and Computing, 2026 Apr
vol. 7,
no. 2,
pp.213-269,
2026.
14
Abbaszadeh Mostafa, "Crank-Nicolson and ADI Finite Element Approaches for the Space-Fractional Gray-Scott Model", Communications On Applied Mathematics and Computation, 2026 Mar
vol. ,
no. 1,
pp.1-26,
2026.
15
FAZAYEL MAHDIEHALSADAT ، Abbaszadeh Mostafa ، DEHGHAN MEHDI ، FAKHARIZADI FARHAD, "A Conservative Finite Difference Scheme of Second-Order Accuracy for the Solution of Davey-Stewartson Equations", Mathematical Methods In The Applied Sciences, 2026 Mar
vol. 0,
no. ,
pp.1-23,
2026.
16
REZVANI ALISHAH SHILA ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Improving pandemic prediction: integrating Physics-Informed Neural Networks and symbolic regression for COVID-19 modeling", Computer Methods In Biomechanics and Biomedical Engineering, 2026 Feb
vol. .,
no. .,
pp.1-30,
2026.
17
KARIMI AKRAM ، Abbaszadeh Mostafa, "An adaptive-fidelity gradient-enhanced PINN framework for option pricing under regime-switching models", Results In Applied Mathematics, 2026 Feb
vol. 29,
no. ,
pp.1-36,
2026.
18
GHOREYSHI SEYED MOHAMMAD AMIN ، Abbaszadeh Mostafa ، Zaky Mahmoud A. ، DEHGHAN MEHDI, "An accurate and robust numerical method for solving distributed-order space-time fractional PDEs", Zeitschrift Fur Angewandte Mathematik Und Physik, 2025 Dec
vol. 76,
no. ,
pp.1-27,
2025.
19
HAJI ABBASI MOHAMMAD MAHDI ، RAHMATI ZAHED ، Abbaszadeh Mostafa, "Graph centrality and deep learning for enhanced portfolio management", Egyptian Informatics Journal, 2025 Dec
vol. 32,
no. 100858,
pp.1-12,
2025.
20
ZAMANI GHARAGHOSHI HASAN ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "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 Nov
vol. ,
no. ,
pp.-,
2025.
21
NEMATI MAEDE ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "High-order numerical solution for solving multi-dimensional Schr?dinger-Poisson equation", Applied Numerical Mathematics, 2025 Nov
vol. ,
no. ,
pp.-,
2025.
22
Abbaszadeh Mostafa ، GHOREYSHI SEYED MOHAMMAD AMIN ، DEHGHAN MEHDI, "A Finite Block Method Framework for Nonlinear Fractional Integro-Differential Equations", Mathematical Methods In The Applied Sciences, 2025 Nov
vol. .,
no. ,
pp.1-19,
2025.
23
BARALAK ZEYNAB ، DEHGHAN MEHDI ، FAKHARIZADI FARHAD ، Abbaszadeh Mostafa, "A local discontinuous Galerkin spectral element method for high-frequency wave propagation in computational acoustics", Journal of Computational Physics, 2025 Oct
vol. ,
no. ,
pp.-,
2025.
24
Ali Ebrahimijahan ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "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 Oct
vol. ,
no. ,
pp.-,
2025.
25
Raoof Zare Moayedi ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "CuPINN: Optimizing PINNs through curvature minimization and residual landscape flattening", Computer Methods In Applied Mechanics and Engineering, 2025 Oct
vol. ,
no. ,
pp.-,
2025.
26
Abbaszadeh Mostafa ، Mahmoud A. Zaky ، DEHGHAN MEHDI, "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 Sep
vol. 501,
no. ,
pp.1-17,
2025.
27
GHOREYSHI SEYED MOHAMMAD AMIN ، Abbaszadeh Mostafa ، Mahmoud A. Zaky ، DEHGHAN MEHDI, "Finite block method for nonlinear time-fractional partial integro-differential equations: Stability, convergence, and numerical analysis", Applied Numerical Mathematics, 2025 Aug
vol. 214,
no. ,
pp.1-35,
2025.
28
YAZDANI AZAM ، FAKHARIZADI FARHAD ، Abbaszadeh Mostafa, "Adaptive radial basis function collocation method for elliptic interface problems", Engineering Analysis With Boundary Elements, 2025 Jul
vol. ,
no. ,
pp.-,
2025.
29
GHOREYSHI SEYED MOHAMMAD AMIN ، Abbaszadeh Mostafa ، Mahmoud A. Zaky ، DEHGHAN MEHDI, "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 Jun
vol. ,
no. ,
pp.-,
2025.
30
NEMATI MAEDE ، Abbaszadeh Mostafa ، Mahmoud A. Zaky ، DEHGHAN MEHDI, "A generalized finite difference approach and splitting technique for the Kuramoto-Tsuzuki equation in multi-dimensional applications", Engineering Analysis With Boundary Elements, 2025 Apr
vol. 177,
no. ,
pp.1-19,
2025.
31
PASHAPOUR MAHYA ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Combining finite volume method and physics-informed neural networks for parameter identification and model selection in cell invasion models", European Physical Journal Plus, 2025 Apr
vol. ,
no. ,
pp.1-14,
2025.
32
Mojtaba Torkian ، Abbaszadeh Mostafa ، Seyed Majid Alavi ، Majid Haghverdi, "A supervised learning algorithm to simulate tumor growth: Cahn-Hilliard model on surfaces", Engineering Analysis With Boundary Elements, 2025 Mar
vol. 173,
no. 106132,
pp.1-11,
2025.
33
HOOSHYARFARZIN BAHARAK ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Numerical simulation and error estimation of the Davey-Stewartson equations with virtual element method", Applied Mathematics and Computation, 2025 Mar
vol. 489,
no. 0,
pp.1-36,
2025.
34
Mojtaba Torkian ، Abbaszadeh Mostafa ، Seyed Majid Alavi ، Majid Haghverdi, "A supervised learning algorithm to simulate tumor growth: Cahn-Hilliard model on surfaces", Engineering Analysis With Boundary Elements, 2025 Feb
vol. 173,
no. 106132,
pp.1-11,
2025.
35
Abbaszadeh Mostafa ، Amirreza Khodadadian ، Maryam Parvizi ، DEHGHAN MEHDI ، 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, 2025 Feb
vol. 523,
no. 0,
pp.1-23,
2025.
36
Abbaszadeh Mostafa ، Maryam Parvizi ، Amirreza Khodadadian ، Thomas Wick ، DEHGHAN MEHDI, "A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model", Computers and Mathematics With Applications, 2025 Feb
vol. ???,
no. 179,
pp.197-211,
2025.
37
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Error estimate of virtual element approximation for loaded time-fractional Hallaire's equation", Journal of Applied Mathematics and Computing, 2025 Feb
vol. ,
no. 0,
pp.1-28,
2025.
38
MOHAMMADI NIMA ، Abbaszadeh Mostafa ، DEHGHAN MEHDI ، 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, 2024 Nov
vol. .,
no. 0,
pp.1-26,
2024.
39
Abbaszadeh Mostafa ، Mohammad Ivan Azis ، DEHGHAN MEHDI, "A mesh-free method using Pascal polynomials for analyzing space-fractional PDEs in irregular biological geometries", Engineering Analysis With Boundary Elements, 2024 Oct
vol. 169,
no. 0,
pp.1-14,
2024.
40
MASOUMZADEH REZA ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Isogeometric collocation method to simulate phase-field crystal model", International Journal of Numerical Methods For Heat and Fluid Flow, 2024 Aug
vol. .,
no. 0,
pp.1-22,
2024.
41
Mohammad Ilati ، Abbaszadeh Mostafa, "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, 2024 Aug
vol. .,
no. 0,
pp.1-20,
2024.
42
Abbaszadeh Mostafa ، Mahmoud A. Zaky ، Ahmed S. Hendy ، DEHGHAN MEHDI, "Optical solitons based on N-coupled nonlinear Schr?dinger equations and rational RBF partition of unity approach", Engineering Analysis With Boundary Elements, 2024 Jun
vol. 163,
no. 0,
pp.297-307,
2024.
43
MOHAMMADI ARANI REZA ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "Extending matrix-vector framework on multiple relaxation time lattice Boltzmann method", Applied Mathematics Letters, 2024 Jun
vol. 152,
no. 0,
pp.1-6,
2024.
44
HOOSHYARFARZIN BAHARAK ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Simulation of coupled elasticity problem with pressure equation: hydroelastic equation", Multidiscipline Modeling In Materials and Structures, 2024 May
vol. 20,
no. 4,
pp.577-646,
2024.
45
Abbaszadeh Mostafa ، 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, 2024 May
vol. 40,
no. 3,
pp.1-30,
2024.
46
Abbaszadeh Mostafa ، Mahmoud A. Zaky ، Ahmed S. Hendy ، DEHGHAN MEHDI, "Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains", Mathematics and Computers In Simulation, 2024 Feb
vol. 216,
no. 0,
pp.77-103,
2024.
47
Abbaszadeh Mostafa ، Amirreza Khodadadian ، Maryam Parvizi ، DEHGHAN MEHDI, "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, 2024 Feb
vol. 159,
no. 0,
pp.288-301,
2024.
48
MOHAMMADI ARANI REZA ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method", Applied Numerical Mathematics, 2024 Feb
vol. 196,
no. 0,
pp.83-103,
2024.
49
Abbaszadeh Mostafa ، 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, 2023 Dec
vol. 56,
no. 96,
pp.1-18,
2023.
50
Abbaszadeh Mostafa ، DEHGHAN MEHDI ، Dunhui Xiao, "Investigation of phase-field models of tumor growth based on a reduced-order meshless Galerkin method", Engineering With Computers, 2023 Nov
vol. 40,
no. 0,
pp.2331-2347,
2023.
51
GHOLAMI FATEMEH ، RAHMATI ZAHED ، MOFIDI ALIREZA ، Abbaszadeh Mostafa, "On Enhancement of Text Classification and Analysis of Text Emotions Using Graph Machine Learning and Ensemble Learning Methods on Non-English Datasets", Algorithms, 2023 Oct
vol. 16,
no. 10,
pp.470-484,
2023.
52
EBRAHIMI JAHAN ALI ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "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, 2023 Oct
vol. 155,
no. 0,
pp.48-61,
2023.
53
Abbaszadeh Mostafa ، 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, 2023 Oct
vol. 156,
no. 0,
pp.57-69,
2023.
54
EBRAHIMI JAHAN ALI ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "Simulation of the coupled Schr?dinger-Boussinesq equations through integrated radial basis functions-partition of unity method", Engineering Analysis With Boundary Elements, 2023 Aug
vol. 153,
no. 0,
pp.51-67,
2023.
55
ZAMANI GHARAGHOSHI HASAN ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "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, 2023 Jul
vol. 152,
no. 0,
pp.575-581,
2023.
56
MOHAMMADI ARANI REZA ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "Morphodynamic shallow layer equations featuring bed load and suspended sediment with lattice Boltzmann method", Engineering With Computers, 2023 Jun
vol. 1,
no. 1,
pp.1-28,
2023.
57
Abbaszadeh Mostafa ، Mohammad Ivan Azis ، DEHGHAN MEHDI ، MOHAMMADI ARANI REZA, "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, 2023 Jun
vol. 140,
no. 0,
pp.195-210,
2023.
58
HUMAND MOHAMMAD ، KHORSAND MOHAMMADREZA ، MOHAMMADPOUR MOBARAKEH ، Guillermo J. Zarragoicoechea ، Abbaszadeh Mostafa, "Advances in critical temperature shift modeling of confined pure fluids using the Kihara potential function", Journal of Petroleum Exploration and Production Technology, 2023 May
vol. 1,
no. 1,
pp.1-20,
2023.
59
Abbaszadeh Mostafa ، 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, 2023 May
vol. 33,
no. 8,
pp.2730-2756,
2023.
60
Abbaszadeh Mostafa ، Yasmin Kalhor ، DEHGHAN MEHDI ، 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, 2023 Apr
vol. 150,
no. 0,
pp.154-166,
2023.
61
Abbaszadeh Mostafa ، Mahmoud A. Zaky ، Ahmed S. Hendy ، DEHGHAN MEHDI, "A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers equation", Applied Numerical Mathematics, 2023 Apr
vol. 187,
no. 0,
pp.262-276,
2023.
62
ZAMANI GHARAGHOSHI HASAN ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "A meshless collocation method based on Pascal polynomial approximation and implicit closest point method for solving reaction-diffusion systems on surfaces", Engineering With Computers, 2023 Feb
vol. 1,
no. 0,
pp.1-10,
2023.
63
Abbaszadeh Mostafa ، EBRAHIMI JAHAN ALI ، DEHGHAN MEHDI, "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, 2023 Jan
vol. 146,
no. 0,
pp.733-748,
2023.
64
DEHGHAN MEHDI ، HOOSHYARFARZIN BAHARAK ، Abbaszadeh Mostafa, "Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov-Rubenchik equations", Engineering Analysis With Boundary Elements, 2022 Dec
vol. 145,
no. 0,
pp.93-116,
2022.
65
Abbaszadeh Mostafa ، DEHGHAN MEHDI ، 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, 2022 Sep
vol. 38,
no. 5,
pp.1271-1292,
2022.
66
DEHGHAN MEHDI ، HOOSHYARFARZIN BAHARAK ، Abbaszadeh Mostafa, "Numerical simulation based on a combination of finite-element method and proper orthogonal decomposition to prevent the groundwater contamination", Engineering With Computers, 2022 Jul
vol. 38,
no. 0,
pp.3445-3461,
2022.
67
MOHAMMADI ARANI REZA ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "Proper Orthogonal Decomposition--Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas", Siam Journal On Scientific Computing, 2022 Jul
vol. 44,
no. 4,
,
2022.
68
GHARIBI ZEINAB ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems", Journal of Computational and Applied Mathematics, 2022 Jul
vol. 416,
no. 0,
pp.1-19,
2022.
69
Abbaszadeh Mostafa ، BAYAT MOSTAFA ، DEHGHAN MEHDI, "Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method", Applied Mathematics and Computation, 2022 Jul
vol. 433,
no. 0,
pp.1-19,
2022.
70
LOGHMAN EHSAN ، BAKHTIARI NEJAD FIROOZ ، KAMALIE IGLIE ALI ، Abbaszadeh Mostafa, "Nonlinear random vibrations of micro-beams with fractional viscoelastic core", Probabilistic Engineering Mechanics, 2022 Apr
vol. 69,
no. 103274,
,
2022.
71
Moh. Ivan Azis ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs", International Journal of Computer Mathematics, 2022 Mar
vol. 99,
no. 3,
pp.575-590,
2022.
72
Hamid Mesgarani ، Mahya Kermani ، Abbaszadeh Mostafa, "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, 2022 Jan
vol. 32,
no. 2,
pp.850-886,
2022.
73
EBRAHIMI JAHAN ALI ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "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, 2022 Jan
vol. 134,
no. 0,
pp.553-570,
2022.
74
Abbaszadeh Mostafa ، 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, 2022 Jan
vol. 32,
no. 1,
pp.41-61,
2022.
75
Ahmed S. Hendy ، Mahmoud A. Zaky ، Abbaszadeh Mostafa, "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, 2021 Dec
vol. 190,
no. 0,
pp.1370-1378,
2021.
76
DEHGHAN MEHDI ، HOOSHYARFARZIN BAHARAK ، Abbaszadeh Mostafa, "Proper orthogonal decomposition Pascal polynomial-based method for solving Sobolev equation", International Journal of Numerical Methods For Heat and Fluid Flow, 2021 Nov
vol. 32,
no. 7,
pp.2506-2542,
2021.
77
LOGHMAN EHSAN ، KAMALIE IGLIE ALI ، BAKHTIARI NEJAD FIROOZ ، Abbaszadeh Mostafa ، amabili marco, "On the combined Shooting-Pseudo-Arclength method for finding frequency response of nonlinear fractional-order differential equations", Journal of Sound and Vibration, 2021 Nov
vol. 516,
no. 0,
pp.1-21,
2021.
78
Abbaszadeh Mostafa ، BAYAT MOSTAFA ، DEHGHAN MEHDI, "The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation", Wave Motion, 2021 Nov
vol. 107,
no. 0,
pp.1-19,
2021.
79
LOGHMAN EHSAN ، BAKHTIARI NEJAD FIROOZ ، KAMALIE IGLIE ALI ، Abbaszadeh Mostafa ، Marco Amabili, "Nonlinear vibration of fractional viscoelastic micro-beams", International Journal of Non-Linear Mechanics, 2021 Nov
vol. 137,
no. 0,
pp.1-10,
2021.
80
Abbaszadeh Mostafa ، DEHGHAN MEHDI ، 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, 2021 Nov
vol. 132,
no. 0,
pp.469-480,
2021.
81
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation", Numerical Algorithms, 2021 Oct
vol. 90,
no. 0,
pp.271-299,
2021.
82
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "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, 2021 Oct
vol. 169,
no. 0,
pp.44-63,
2021.
83
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Investigation of heat transport equation at the microscale via interpolating element-free Galerkin method", Engineering With Computers, 2021 Jul
vol. 38,
no. 0,
pp.3317-3333,
2021.
84
GHARIBI ZEINAB ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "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, 2021 Jun
vol. 92,
no. 0,
pp.88-108,
2021.
85
LOGHMAN EHSAN ، KAMALIE IGLIE ALI ، BAKHTIARI NEJAD FIROOZ ، Abbaszadeh Mostafa, "Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam", Applied Mathematical Modelling, 2021 May
vol. 92,
no. 0,
pp.297-314,
2021.
86
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection-diffusion equation", Engineering With Computers, 2021 Apr
vol. 37,
no. 0,
pp.873-889,
2021.
87
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "The proper orthogonal decomposition modal spectral element method for two-dimensional viscoelastic equation", Thin-Walled Structures, 2021 Apr
vol. 161,
no. 107429,
pp.1-14,
2021.
88
Abbaszadeh Mostafa ، BAYAT MOSTAFA ، DEHGHAN MEHDI ، 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, 2021 Apr
vol. 125,
no. 0,
pp.178-189,
2021.
89
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "The Crank-Nicolson/interpolating stabilized element-free Galerkin method to investigate the fractional Galilei invariant advection-diffusion equation", Mathematical Methods In The Applied Sciences, 2021 Mar
vol. 44,
no. 0,
pp.2752-2768,
2021.
90
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "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, 2021 Mar
vol. 392,
no. 125718,
pp.1-21,
2021.
91
Abbaszadeh Mostafa ، DEHGHAN MEHDI ، 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, 2021 Feb
vol. 426,
no. 109875,
pp.1-52,
2021.
92
Abbaszadeh Mostafa ، GOLMOHAMMADI MOBINA ، DEHGHAN MEHDI, "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, 2021 Jan
vol. 136,
no. 59,
pp.1-26,
2021.
93
Mohammad Ivan Azis ، Abbaszadeh Mostafa ، DEHGHAN MEHDI ، Imam Solekhudin, "A boundary-only integral equation method for parabolic problems of another class of anisotropic functionally graded materials", Materials Today Communications, 2020 Dec
vol. 26,
no. 101956,
pp.1-9,
2020.
94
DEHGHAN MEHDI ، SHAFIEEABYANEH NASIM ، Abbaszadeh Mostafa, "Application of spectral element method for solving Sobolev equations with error estimation", Applied Numerical Mathematics, 2020 Nov
vol. 158,
no. 0,
pp.439-462,
2020.
95
DEHGHAN MEHDI ، SHAFIEEABYANEH NASIM ، Abbaszadeh Mostafa, "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, 2020 Oct
vol. 37,
no. 1,
pp.360-382,
2020.
96
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "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, 2020 Oct
vol. 119,
no. 0,
pp.151-161,
2020.
97
EBRAHIMI JAHAN ALI ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "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, 2020 Sep
vol. 121,
no. 0,
pp.50-64,
2020.
98
LOGHMAN EHSAN ، KAMALIE IGLIE ALI ، BAKHTIARI NEJAD FIROOZ ، Abbaszadeh Mostafa, "Analysis of free and forced vibrations of a viscoelastic micro-beam, using Kelvin-Voigt fractional viscoelastic model", , 2020 Sep
vol. 9,
no. 17,
pp.27-38,
2020.
99
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "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, 2020 Sep
vol. 118,
no. 0,
pp.188-201,
2020.
100
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "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, 2020 Aug
vol. 158,
no. 0,
pp.271-291,
2020.
101
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "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, 2020 Aug
vol. 143,
no. 0,
pp.1917-1933,
2020.
102
Abbaszadeh Mostafa ، DEHGHAN MEHDI ، Amirreza Khodadadian ، Thomas Wick, "Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection-reaction-diffusion models", Applicable Analysis, 2020 Aug
vol. 101,
no. 6,
pp.2279-2294,
2020.
103
Abbaszadeh Mostafa ، DEHGHAN MEHDI ، 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, 2020 Aug
vol. 374,
no. 0,
pp.1-16,
2020.
104
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "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, 2020 Aug
vol. 38,
no. 1,
pp.71-91,
2020.
105
Amirreza Khodadadian ، Nima Noii ، Maryam Parvizi ، Abbaszadeh Mostafa ، Thomas Wick ، Clemens Heitzinger, "A Bayesian estimation method for variational phase-field fracture problems", Computational Mechanics, 2020 Jul
vol. 66,
no. 0,
pp.827-849,
2020.
106
Abbaszadeh Mostafa ، DEHGHAN MEHDI ، 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, 2020 Jul
vol. 80,
no. 1,
pp.247-262,
2020.
107
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "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, 2020 Jul
vol. 38,
no. 0,
pp.1543-1557,
2020.
108
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "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, 2020 Jun
vol. 364,
no. 112914,
pp.1-28,
2020.
109
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique", Applied Numerical Mathematics, 2020 Apr
vol. 150,
no. 0,
pp.274-294,
2020.
110
Abbaszadeh Mostafa ، DEHGHAN MEHDI ، 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, 2020 Apr
vol. 368,
no. 0,
pp.1-17,
2020.
111
Abbaszadeh Mostafa ، DEHGHAN MEHDI ، 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, 2020 Apr
vol. 92,
no. 10,
pp.1415-1436,
2020.
112
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation", Applied Numerical Mathematics, 2020 Mar
vol. 154,
no. 0,
pp.172-186,
2020.
113
Abbaszadeh Mostafa ، AMJADIAN HANIEH, "Second-Order Finite Difference/Spectral Element Formulation for Solving the Fractional Advection-Diffusion Equation", Communications On Applied Mathematics and Computation, 2020 Mar
vol. 1,
no. 1,
pp.1-17,
2020.
114
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "A meshless numerical investigation based on the RBF-QR approach for elasticity problems", .Aut Journal of Mathematics and Computing, 2020 Feb
vol. 1,
no. 1,
pp.1-15,
2020.
115
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "An upwind local radial basis functions-differential quadrature (RBFs-DQ) technique to simulate some models arising in water sciences", Ocean Engineering, 2020 Feb
vol. 197,
no. 0,
pp.1-26,
2020.
116
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives", Engineering With Computers, 2020 Jan
vol. 37,
no. 0,
pp.2173-2182,
2020.
117
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "A reduced order finite difference method for solving space-fractional reaction-diffusion systems: The Gray-Scott model", European Physical Journal Plus, 2019 Dec
vol. 134,
no. 0,
pp.620-635,
2019.
118
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains", Computers and Mathematics With Applications, 2019 Sep
vol. 79,
no. 0,
pp.876-888,
2019.
119
DEHGHAN MEHDI ، Abbaszadeh Mostafa ، 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, 2019 Aug
vol. 29,
no. 8,
pp.2642-2665,
2019.
120
Abbaszadeh Mostafa ، DEHGHAN MEHDI ، 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, 2019 Jul
vol. 78,
no. 0,
pp.1772-1792,
2019.
121
DEHGHAN MEHDI ، Abbaszadeh Mostafa, "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, 2019 Jun
vol. 35,
no. 0,
pp.875-892,
2019.
122
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "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, 2019 May
vol. 145,
no. 0,
pp.488-506,
2019.
123
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations", Engineering Analysis With Boundary Elements, 2019 May
vol. 106,
no. 0,
pp.300-308,
2019.
124
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains", Computers and Mathematics With Applications, 2019 Apr
vol. 78,
no. 0,
pp.1531-1547,
2019.
125
Abbaszadeh Mostafa ، DEHGHAN MEHDI, "The interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis", Nonlinear Dynamics, 2019 Mar
vol. 96,
no. 0,
pp.1345-1365,
2019.
126
Amirreza Khadadadian ، Maryam Parvizi ، Abbaszadeh Mostafa ، DEHGHAN MEHDI ، Clemens Heitzinger, "A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation", Computational Mechanics, 2019 Feb
vol. 64,
no. 0,
pp.937-949,
2019.
127
Gholamreza Karamali ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "Numerical solution of a time-fractional PDE in the electroanalytical chemistry by a local meshless method", Engineering With Computers, 2019 Jan
vol. 35,
no. 1,
pp.87-100,
2019.
128
Abbaszadeh Mostafa, "Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation", Applied Mathematics Letters, 2019 Jan
vol. 88,
no. 0,
pp.179-185,
2019.
129
Abbaszadeh Mostafa ، Amirreza Khodadadian ، Maryam Parvizi ، DEHGHAN MEHDI ، Clemens Heitzinger, "A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations", Engineering Analysis With Boundary Elements, 2019 Jan
vol. 98,
no. 0,
pp.253-264,
2019.
130
Gholamreza Karamali ، Abbaszadeh Mostafa ، DEHGHAN MEHDI, "The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system", Computational Methods For Differential Equations, 2019 Jan
vol. 6,
no. 2,
pp.215-237,
2019.
131
DEHGHAN MEHDI ، Abbaszadeh Mostafa, "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, 2019 Jan
vol. 356,
no. 0,
pp.314-328,
2019.
132
DEHGHAN MEHDI ، Abbaszadeh Mostafa, "Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method", Applied Numerical Mathematics, 2018 Oct
vol. 137,
no. 0,
pp.252-273,
2018.
133
DEHGHAN MEHDI ، Abbaszadeh Mostafa, "The space-splitting idea combined with local radial basis function meshless approach to simulate conservation laws equations", Alexandria Engineering Journal, 2018 Jun
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, 2013
vol. 2,
no. 37,
pp.475-485,
2013.