Mostafa Abbaszadeh - Amirkabir University of Technology

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Amirkabir University of Technology

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Mostafa Abbaszadeh

Assistant Professor
Department of Mathematics and Computer Science
Applied Mathematics

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m.abbaszadeh

aut.ac.ir

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Citations (Scopus):

4059

Educational Records

Degree/Major

University

City

Country

Graduation Date

B.Sc

Kashan University

Kashan

Iran

2010

M.Sc

Kashan University

Kashan

Iran

2012

PhD

Amirkabir University of Technology

Tehran

Iran

2017

Supervised MSc Theses

Thesis title

Date

Simulation of two-phase flows based on the incompressible Cahn–Hilliard–Navier–Stokes (CHNS) equations

Reza Masoumzade & Mostafa Abbaszadeh

February 2024

option pricing using deep learning

Hamed Hemmatkhah & Mostafa Abbaszadeh

September 2023

Simulation of the Navier-Stokes-Cahn-Hilliard equation using local meshless methods ?

Mohammad Soroush Ghafari & Mostafa Abbaszadeh

May 2023

The Use of Local Meshless Methods for Option Pricing under Regime-Switching Stochastic Volatility Models with Jump

Farhad Saeediyoun & Mostafa Abbaszadeh

March 2023

exchange rate prediction using machine learning

Mahsa Saberi & Mostafa Abbaszadeh

March 2023

local meshless methods to investigate the anisotropic potential problems

Seyed Alireza Ghasemi & Mostafa Abbaszadeh

March 2022

Investigation of fluid flow based on incompressible Navier-Stokes equation and local meshles method

Mostafa Bayat & Mostafa Abbaszadeh

February 2022

Compact finite difference method for the numerical solution of delay partial differential equations

Saeed Gharishvandi & Mostafa Abbaszadeh

January 2022

Numerical computation of fractional Black-Scholes equation governing European options

Hanieh Amjadian & Mostafa Abbaszadeh

August 2021

Journal Papers

Portal Records

Reza Mohammadi Arani, Mehdi Dehghan, Mostafa Abbaszadeh, "Extending matrix–vector framework on multiple relaxation time lattice Boltzmann method", APPLIED MATHEMATICS LETTERS, June 2024 Vol. 152, Num. 0, Page 1-6, June 2024,

Mostafa Abbaszadeh, Amirreza Khodadadian, Maryam Parvizi, Mehdi 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, February 2024 Vol. 159, Num. 0, Page 288-301, February 2024,

Reza Mohammadi Arani, Mehdi Dehghan, Mostafa Abbaszadeh, "Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method", APPLIED NUMERICAL MATHEMATICS, February 2024 Vol. 196, Num. 0, Page 83-103, February 2024,

Mostafa Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, Mehdi Dehghan, "Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains", MATHEMATICS AND COMPUTERS IN SIMULATION, February 2024 Vol. 216, Num. 0, Page 77-103, February 2024,

Ali Ebrahimi Jahan, Mehdi Dehghan, Mostafa 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, October 2023 Vol. 155, Num. 0, Page 48-61, October 2023,

Fatemeh Gholami, Zahed Rahmati, Alireza Mofidi, Mostafa Abbaszadeh, "On Enhancement of Text Classification and Analysis of Text Emotions Using Graph Machine Learning and Ensemble Learning Methods on Non-English Datasets", Algorithms, October 2023 Vol. 16, Num. 10, Page 470-484, October 2023,

Ali Ebrahimi Jahan, Mehdi Dehghan, Mostafa Abbaszadeh, "Simulation of the coupled Schr?dinger–Boussinesq equations through integrated radial basis functions-partition of unity method", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, August 2023 Vol. 153, Num. 0, Page 51-67, August 2023,

Hasan Zamani Gharaghoshi, Mehdi Dehghan, Mostafa 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, July 2023 Vol. 152, Num. 0, Page 575-581, July 2023,

Reza Mohammadi Arani, Mehdi Dehghan, Mostafa Abbaszadeh, "Morphodynamic shallow layer equations featuring bed load and suspended sediment with lattice Boltzmann method", ENGINEERING WITH COMPUTERS, June 2023 Vol. 1, Num. 1, Page 1-28, June 2023,

Mostafa Abbaszadeh, Mohammad Ivan Azis, Mehdi Dehghan, Reza 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 & MATHEMATICS WITH APPLICATIONS, June 2023 Vol. 140, Num. 0, Page 195-210, June 2023,

Mohammad Humand, Mohammadreza Khorsand, Mobarakeh Mohammadpour, Guillermo J. Zarragoicoechea, Mostafa Abbaszadeh, "Advances in critical temperature shift modeling of confined pure fluids using the Kihara potential function", Journal of Petroleum Exploration and Production Technology, May 2023 Vol. 1, Num. 1, Page 1-20, May 2023,

Mostafa Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, Mehdi Dehghan, "A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers equation", APPLIED NUMERICAL MATHEMATICS, April 2023 Vol. 187, Num. 0, Page 262-276, April 2023,

Mostafa Abbaszadeh, Yasmin Kalhor, Mehdi 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, April 2023 Vol. 150, Num. 0, Page 154-166, April 2023,

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", ENGINEERING WITH COMPUTERS, February 2023 Vol. 1, Num. 0, Page 1-10, February 2023,

Mostafa Abbaszadeh, Ali Ebrahimi Jahan, Mehdi 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, January 2023 Vol. 146, Num. 0, Page 733-748, January 2023,

Mehdi Dehghan, Baharak Hooshyarfarzin, Mostafa Abbaszadeh, "Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov–Rubenchik equations", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, December 2022 Vol. 145, Num. 0, Page 93-116, December 2022,

Mostafa Abbaszadeh, Mehdi 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, September 2022 Vol. 38, Num. 5, Page 1271-1292, September 2022,

Reza Mohammadi Arani, Mehdi Dehghan, Mostafa Abbaszadeh, "Proper Orthogonal Decomposition--Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas", SIAM JOURNAL ON SCIENTIFIC COMPUTING, July 2022 Vol. 44, Num. 4, Page 0-0, July 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", ENGINEERING WITH COMPUTERS, July 2022 Vol. 38, Num. 0, Page 3445-3461, July 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", APPLIED MATHEMATICS AND COMPUTATION, July 2022 Vol. 433, Num. 0, Page 1-19, July 2022,

Zeinab Gharibi, Mehdi Dehghan, Mostafa Abbaszadeh, "Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems", JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, July 2022 Vol. 416, Num. 0, Page 1-19, July 2022,

Ehsan Loghman, Firooz Bakhtiari Nejad, Ali Kamalie Iglie, Mostafa Abbaszadeh, "Nonlinear random vibrations of micro-beams with fractional viscoelastic core", PROBABILISTIC ENGINEERING MECHANICS, April 2022 Vol. 69, Num. 103274, Page 0-0, April 2022,

Moh. Ivan Azis, Mostafa Abbaszadeh, Mehdi Dehghan, "An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs", INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, March 2022 Vol. 99, Num. 3, Page 575-590, March 2022,

Hamid Mesgarani, Mahya Kermani , Mostafa 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 & FLUID FLOW, January 2022 Vol. 32, Num. 2, Page 850-886, January 2022,

Mostafa 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 & FLUID FLOW, January 2022 Vol. 32, Num. 1, Page 41-61, January 2022,

Ali Ebrahimi Jahan, Mehdi Dehghan, Mostafa 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, January 2022 Vol. 134, Num. 0, Page 553-570, January 2022,

Ahmed S. Hendy, Mahmoud A. Zaky, Mostafa 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, December 2021 Vol. 190, Num. 0, Page 1370-1378, December 2021,

Ehsan Loghman, Firooz Bakhtiari Nejad, Ali Kamalie Iglie, Mostafa Abbaszadeh, Marco Amabili, "Nonlinear vibration of fractional viscoelastic micro-beams", INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, November 2021 Vol. 137, Num. 0, Page 1-10, November 2021,

Mehdi Dehghan, Baharak Hooshyarfarzin, Mostafa Abbaszadeh, "Proper orthogonal decomposition Pascal polynomial-based method for solving Sobolev equation", INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, November 2021 Vol. 32, Num. 7, Page 2506-2542, November 2021,

Ehsan Loghman, Ali Kamalie Iglie, Firooz Bakhtiari Nejad, Mostafa 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, November 2021 Vol. 516, Num. 0, Page 1-21, November 2021,

Mostafa Abbaszadeh, Mehdi 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, November 2021 Vol. 132, Num. 0, Page 469-480, November 2021,

Mostafa Abbaszadeh, Mostafa Bayat, Mehdi Dehghan, "The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation", WAVE MOTION, November 2021 Vol. 107, Num. 0, Page 1-19, November 2021,

Mostafa Abbaszadeh, Mehdi 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, October 2021 Vol. 169, Num. 0, Page 44-63, October 2021,

Mostafa Abbaszadeh, Mehdi Dehghan, "A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation", NUMERICAL ALGORITHMS, October 2021 Vol. 90, Num. 0, Page 271-299, October 2021,

Mostafa Abbaszadeh, Mehdi Dehghan, "Investigation of heat transport equation at the microscale via interpolating element-free Galerkin method", ENGINEERING WITH COMPUTERS, July 2021 Vol. 38, Num. 0, Page 3317-3333, July 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", COMPUTERS & MATHEMATICS WITH APPLICATIONS, June 2021 Vol. 92, Num. 0, Page 88-108, June 2021,

Mostafa Abbaszadeh, Mehdi Dehghan, "Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection–diffusion equation", ENGINEERING WITH COMPUTERS, April 2021 Vol. 37, Num. 0, Page 873-889, April 2021,

Mostafa Abbaszadeh, Mehdi Dehghan, "The proper orthogonal decomposition modal spectral element method for two-dimensional viscoelastic equation", THIN-WALLED STRUCTURES, April 2021 Vol. 161, Num. 107429, Page 1-14, April 2021,

Mostafa Abbaszadeh, Mostafa Bayat, Mehdi 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, April 2021 Vol. 125, Num. 0, Page 178-189, April 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", APPLIED MATHEMATICS AND COMPUTATION, March 2021 Vol. 392, Num. 125718, Page 1-21, March 2021,

Mostafa Abbaszadeh, Mehdi 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, March 2021 Vol. 44, Num. 0, Page 2752-2768, March 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", JOURNAL OF COMPUTATIONAL PHYSICS, February 2021 Vol. 426, Num. 109875, Page 1-52, February 2021,

Mostafa Abbaszadeh, Mobina Golmohammadi, Mehdi 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", The European Physical Journal Plus, January 2021 Vol. 136, Num. 59, Page 1-26, January 2021,

Mohammad Ivan Azis, Mostafa Abbaszadeh, Mehdi Dehghan, Imam Solekhudin, "A boundary-only integral equation method for parabolic problems of another class of anisotropic functionally graded materials", Materialstoday Communications, December 2020 Vol. 26, Num. 101956, Page 1-9, December 2020,

Mehdi Dehghan, Nasim Shafieeabyaneh, Mostafa Abbaszadeh, "Application of spectral element method for solving Sobolev equations with error estimation", APPLIED NUMERICAL MATHEMATICS, November 2020 Vol. 158, Num. 0, Page 439-462, November 2020,

Mostafa Abbaszadeh, Mehdi 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, October 2020 Vol. 119, Num. 0, Page 151-161, October 2020,

Mehdi Dehghan, Nasim Shafieeabyaneh, Mostafa 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, October 2020 Vol. 37, Num. 1, Page 360-382, October 2020,

Mostafa Abbaszadeh, Mehdi 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, September 2020 Vol. 118, Num. 0, Page 188-201, September 2020,

Ali Ebrahimi Jahan, Mehdi Dehghan, Mostafa 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, September 2020 Vol. 121, Num. 0, Page 50-64, September 2020,

Mostafa Abbaszadeh, Mehdi 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, August 2020 Vol. 158, Num. 0, Page 271-291, August 2020,

Mostafa Abbaszadeh, Mehdi 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, August 2020 Vol. 101, Num. 6, Page 2279-2294, August 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", JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, August 2020 Vol. 374, Num. 0, Page 1-16, August 2020,

Mostafa Abbaszadeh, Mehdi 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, August 2020 Vol. 38, Num. 1, Page 71-91, August 2020,

Mostafa Abbaszadeh, Mehdi 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, August 2020 Vol. 143, Num. 0, Page 1917-1933, August 2020,

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", ENGINEERING WITH COMPUTERS, July 2020 Vol. 38, Num. 0, Page 1543-1557, July 2020,

Amirreza Khodadadian, Nima Noii, Maryam Parvizi, Mostafa Abbaszadeh, Thomas Wick, Clemens Heitzinger, "A Bayesian estimation method for variational phase-field fracture problems", COMPUTATIONAL MECHANICS, July 2020 Vol. 66, Num. 0, Page 827-849, July 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", COMPUTERS & MATHEMATICS WITH APPLICATIONS, July 2020 Vol. 80, Num. 1, Page 247-262, July 2020,

Mostafa Abbaszadeh, Mehdi 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, June 2020 Vol. 364, Num. 112914, Page 1-28, June 2020,

Mostafa Abbaszadeh, Mehdi 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, April 2020 Vol. 92, Num. 10, Page 1415-1436, April 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", JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, April 2020 Vol. 368, Num. 0, Page 1-17, April 2020,

Mostafa Abbaszadeh, Mehdi Dehghan, "Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique", APPLIED NUMERICAL MATHEMATICS, April 2020 Vol. 150, Num. 0, Page 274-294, April 2020,

Mostafa Abbaszadeh, Hanieh Amjadian, "Second-Order Finite Difference/Spectral Element Formulation for Solving the Fractional Advection-Diffusion Equation", Communications on Applied Mathematics and Computation, March 2020 Vol. 1, Num. 1, Page 1-17, March 2020,

Mostafa Abbaszadeh, Mehdi Dehghan, "Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation", APPLIED NUMERICAL MATHEMATICS, March 2020 Vol. 154, Num. 0, Page 172-186, March 2020,

Mostafa Abbaszadeh, Mehdi Dehghan, "A meshless numerical investigation based on the RBF-QR approach for elasticity problems", AUT Journal of Mathematics and Computing, February 2020 Vol. 1, Num. 1, Page 1-15, February 2020,

Mostafa Abbaszadeh, Mehdi Dehghan, "An upwind local radial basis functions-differential quadrature (RBFs-DQ) technique to simulate some models arising in water sciences", OCEAN ENGINEERING, February 2020 Vol. 197, Num. 0, Page 1-26, February 2020,

Mostafa Abbaszadeh, Mehdi Dehghan, "A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives", ENGINEERING WITH COMPUTERS, January 2020 Vol. 37, Num. 0, Page 2173-2182, January 2020,

Mostafa Abbaszadeh, Mehdi Dehghan, "A reduced order finite difference method for solving space-fractional reaction-diffusion systems: The Gray-Scott model", The European Physical Journal Plus, December 2019 Vol. 134, Num. 0, Page 620-635, December 2019,

Mostafa Abbaszadeh, Mehdi Dehghan, "Direct meshless local Petrov–Galerkin (DMLPG) method for time-fractional fourth-order reaction–diffusion problem on complex domains", COMPUTERS & MATHEMATICS WITH APPLICATIONS, September 2019 Vol. 79, Num. 0, Page 876-888, September 2019,

Mehdi Dehghan, Mostafa 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 & FLUID FLOW, August 2019 Vol. 29, Num. 8, Page 2642-2665, August 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", COMPUTERS & MATHEMATICS WITH APPLICATIONS, July 2019 Vol. 78, Num. 0, Page 1772-1792, July 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", ENGINEERING WITH COMPUTERS, June 2019 Vol. 35, Num. 0, Page 875-892, June 2019,

Mostafa Abbaszadeh, Mehdi 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, May 2019 Vol. 145, Num. 0, Page 488-506, May 2019,

Mostafa Abbaszadeh, Mehdi Dehghan, "The reproducing kernel particle Petrov–Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, May 2019 Vol. 106, Num. 0, Page 300-308, May 2019,

Mostafa Abbaszadeh, Mehdi Dehghan, "Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction–diffusion equation on nonrectangular domains", COMPUTERS & MATHEMATICS WITH APPLICATIONS, April 2019 Vol. 78, Num. 0, Page 1531-1547, April 2019,

Mostafa Abbaszadeh, Mehdi Dehghan, "The interpolating element-free Galerkin method for solving Korteweg–de Vries–Rosenau-regularized long-wave equation with error analysis", NONLINEAR DYNAMICS, March 2019 Vol. 96, Num. 0, Page 1345-1365, March 2019,

Amirreza Khadadadian, Maryam Parvizi, Mostafa Abbaszadeh, Mehdi Dehghan, Clemens Heitzinger, "A multilevel Monte Carlo finite element method for the stochastic Cahn–Hilliard–Cook equation", COMPUTATIONAL MECHANICS, February 2019 Vol. 64, Num. 0, Page 937-949, February 2019,

Mostafa Abbaszadeh, "Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation", APPLIED MATHEMATICS LETTERS, January 2019 Vol. 88, Num. 0, Page 179-185, January 2019,

Gholamreza Karamali, Mostafa Abbaszadeh, Mehdi Dehghan, "The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system", COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, January 2019 Vol. 6, Num. 2, Page 215-237, January 2019,

Gholamreza Karamali, Mehdi Dehghan, Mostafa Abbaszadeh, "Numerical solution of a time-fractional PDE in the electroanalytical chemistry by a local meshless method", ENGINEERING WITH COMPUTERS, January 2019 Vol. 35, Num. 1, Page 87-100, January 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", JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, January 2019 Vol. 356, Num. 0, Page 314-328, January 2019,

Mostafa Abbaszadeh, Amirreza Khodadadian, Maryam Parvizi, Mehdi 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, January 2019 Vol. 98, Num. 0, Page 253-264, January 2019,

Mehdi Dehghan, Mostafa Abbaszadeh, "Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method", APPLIED NUMERICAL MATHEMATICS, October 2018 Vol. 137, Num. 0, Page 252-273, October 2018,

Mehdi Dehghan, Mostafa Abbaszadeh, "The space-splitting idea combined with local radial basis function meshless approach to simulate conservation laws equations", Alexandria Engineering Journal, June 2018 Vol. 57, Num. 0, Page 1137-1156, June 2018,

Other Records

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, Num. 37, Page 475-485, 2013,

Conference Papers

Portal Records

Nima Mohammadi, Mohammad Reza Ahmadi Varzaneh, Mostafa Abbaszadeh, "Pricing Options and Computing Implied Volatilities with Artificial Neural Networks using real market data ", The 8th FINACT-IRAN International Conference on Financial and Actuarial Mathematics, July 2023

Mohammad Soroush Ghafari, Mostafa Abbaszadeh, "Simulation of Cahn-Hilliard-Navier-Stokes system ", The 2nd International and 4th National Conference on Biomathematics, University of Mazandaran, Babolsar, Iran (Virtual), February 2023

Mostafa Abbaszadeh, Mohammad Soroush Ghafari, Mehdi Dehghan, "Simulation of Rayleigh-Taylor instability based on Navier-Stokes-Cahn-Hilliard equation via RBF-FD method ", 53rd annual Iranian conferences, September 2022

Nima Mohammadi, Mohammad Reza Ahmadi Varzaneh, Mostafa Abbaszadeh, "Twitter Sentiment Analysis for Bitcoin Price Prediction ", 7th Seminar of Mathematics and Humanities (Financial Mathematic), May 2022

Mostafa Abbaszadeh, Romina Hashami, Mehdi Dehghan, "The use of artificial neural network (ANN) to simulate HIV infection model ", 52nd Annual Iranian Mathematics Conference, August 2021

Mostafa Abbaszadeh, "A reduced-order model based on the cubic B-spline functions to investigate option pricing under jump-diffusion model ", The 7th FINACT-IRAN National Conference on Financial and Actuarial Mathematics, August 2021

Mostafa Abbaszadeh, Mostafa Bayat, "Meshless local procedure for solving the Couette hydromagnetic flow ", 51 Annual Iranian Mathematics Conference, February 2021

Mostafa Abbaszadeh, Hanieh Amjadian, "Local radial point interpolating method (LRPIM) for solving the fractional Black-Scholes model governing European options ", 51 Annual Iranian Mathematics Conference, February 2021

Other Records

Ehsan Loghman, Ali Kamali, Firoz Bakhtiyari, Mostafa Abbaszadeh, "Analysis of an Euler-Bernoulli micro-beam with fractional viscoelastic model", the 9th International Conference on Acoustics and Vibration, 2020

Journals Editorial Board

Magazine Title

Date of Cooperation & Explanations

Journal of Mathematical Modeling (Guilan University)

2018

Numerical Analysis and Applicable Mathematics (University of Salamanca (Universidad de Salamanca))

2019

Journal Referee

Magazine Title

Date of Cooperation & Explanations

Journal of Computational Physics

2017-

Journal of Coputational andApplied Mathematics

Ain Shams

Alexandria Engineering Journal

International Journal of Thermal Sciences

International Journal of Numerical Methods for Heat & Fluid Flow

International Journal for Numerical Methods in Fluids

Engineering Analysis with Boundary Elements

Engineering with Computers

Computer Methods in Applied Mechanics and Engineering

Computers & Mathematics with Applications

Applied Numerical Mathematics

Mathematical Methods in the Applied Sciences

Iranian Journal of Mathematical Chemistry

Communications in Nonlinear Science and Numerical Simulation

Applied Mathematics Letters

The European Physical Journal Plus

Computational Methods for Differential Equations

Numerical Algorithms

Numerical Methods for Partial Differential Equations

Computer Methods and Programs in Biomedicine

Taught Courses

Course title

Description

Headlines

Date

Engineering Mathematics

.To equip students with adequate knowledge of mathematics that will enable them in formulating applied problems and solving partial differential equations analytically.

Spring 2024

Numerical Analysis

This course introduces the formulation and techniques for numerical solution of some problems in science and engineering

Spring 2024

Numerical Analysis

This course introduces the formulation and techniques for numerical solution of some problems in science and engineering

Spring 2024

Finite Element Method

This course introduces some important and useful technique based on the finite element method for solving different PDEs.

Spring 2024

Engineering Mathematics

.To equip students with adequate knowledge of mathematics that will enable them in formulating applied problems and solving partial differential equations analytically.

Fall 2023

Foundation of Numerical Analysis

This course introduces the formulation and techniques for numerical solution of some problems in science and engineering

Fall 2023

Numerical Methods in Financial Mathematics

The main aim of this course is to introduce some numerical methods for solving PDEs arising in Financial Mathematics

Spring 2023

Special Topics in Numerical Analysis

The purpose of this lesson is to present numerical methods for solving the conservation law problems.

Spring 2023

Engineering Mathematics

.To equip students with adequate knowledge of mathematics that will enable them in formulating applied problems and solving partial differential equations analytically.

Spring 2023

Engineering Mathematics

.To equip students with adequate knowledge of mathematics that will enable them in formulating applied problems and solving partial differential equations analytically.

Fall 2022

Numerical Analysis

This course introduces the formulation and techniques for numerical solution of some problems in science and engineering

Fall 2022

Nonlinear Functional Analysis

The main goal of this course is to familiarize students with fractional differential equations.

Fall 2022

NUMERICAL SOLUTION OF INTEGRAL EQUATIONS

The main goal of this course is to familiarize students with numerical methods for solving integral equations.

Fall 2022