M
Mostafa Abbaszadeh
Researcher at Amirkabir University of Technology
Publications - 137
Citations - 3953
Mostafa Abbaszadeh is an academic researcher from Amirkabir University of Technology. The author has contributed to research in topics: Discretization & Fractional calculus. The author has an hindex of 33, co-authored 118 publications receiving 2973 citations. Previous affiliations of Mostafa Abbaszadeh include Islamic Azad University & University of Kashan.
Papers
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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
TL;DR: In this paper, the authors proposed a numerical method for the solution of the time-fractional nonlinear Schrodinger equation in one and two dimensions which appear in quantum mechanics.
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The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions
TL;DR: The aim of this paper is to show that the meshless method based on the radial basis functions and collocation approach is also suitable for the treatment of the nonlinear partial differential equations.
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Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
TL;DR: A high order difference scheme and Galerkin spectral technique is applied for the numerical solution of multi-term time fractional partial differential equations and it is proved the unconditional stability of the compact procedure by coefficient matrix property is proved.
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An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein–Gordon equations
TL;DR: In this paper, the authors proposed a numerical method for the solution of time fractional nonlinear sine-Gordon equation that appears extensively in classical lattice dynamics in the continuum media limit and Klein-Gordon equations which arises in physics.
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A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term
TL;DR: This paper discretizes the space derivative with a fourth-order compact scheme and uses the Grunwald-Letnikov discretization of the Riemann-Liouville derivative to obtain a fully discrete implicit scheme for the solution of modified anomalous fractional sub-diffusion equation.