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Numerical solution of fractional equation by using radial basis functions

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.

 

http://www.sciencedirect.com/science/article/pii/S0955799713002099 

Comments

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

 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 

with best Regards  

Vahid

 

Email: V.r.hosseini@gmail.com

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