In this article, a general type of two-dimensional time-fractional telegraph equation explained by the Caputo derivative sense for (1 < α ≤ 2) is considered and analyzed by a method based on the Galerkin weak form and local radial point interpolant (LRPI) approximation subject to given appropriate initial and Dirichlet boundary conditions.
The purpose of the current investigation is to determine numerical solution of time-fractional diffusion-wave equation with damping for Caputo's fractional derivative of orderα(1<α≤2). A meshless local radial point interpolation (MLRPI) scheme based on Galerkin weak form is analyzed. The reason of choosing MLRPI approach is that it dose not require any background integrations cells, instead integrations are implemented over local quadrature domains which are further simplified for reducing the complication of computation using regular and simple shape.
I am a Vahid Reza Hosseini PHD student in China. My major is mechanic and I am working on fractions and mesh method and meshless method. I have been looking for opprecunity study for 6 months or more. If you have a position for me,please let me know
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Vahid
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Abstract
In this paper, we implement the radial basis functions for solving a classical type of time-fractional telegraph equation defined by Caputo sense for (1<α≤2). The presented method which is coupled of the radial basis functions and finite difference scheme achieves the semi-discrete solution. We investigate the stability, convergence and theoretical analysis of the scheme which verify the validity of the proposed method. Numerical results show the simplicity and accuracy of the presented method.