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Akbar Mohebbi
Researcher at University of Kashan
Publications - 56
Citations - 2260
Akbar Mohebbi is an academic researcher from University of Kashan. The author has contributed to research in topics: Nonlinear system & Compact finite difference. The author has an hindex of 27, co-authored 53 publications receiving 1949 citations. Previous affiliations of Akbar Mohebbi include Amirkabir University of Technology.
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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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High-order compact solution of the one-dimensional heat and advection–diffusion equations
Akbar Mohebbi,Mehdi Dehghan +1 more
TL;DR: In this paper, a high-order accurate method for solving the one-dimensional heat and advection-diffusion equations is proposed, which has fourth-order accuracy in both space and time variables, i.e. this method is of order O( h 4, k 4 ).
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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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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.