Numerical solution of fractional telegraph equation by using radial basis functions

• DOI: 10.1016/j.enganabound.2013.10.009
• Publication Date: 2013-11-05T08:31:54Z
• Authors: Vahid Reza Hosseini; Wen Chen; Zakieh Avazzadeh
• Keywords: Basis (linear algebra); Telegrapher's equations; Basis function; Simplicity

In this paper, we implement the radial basis functions for solving a classical type of time-fractional telegraph equation defined by Caputo sense for ð1oαr2Þ. 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. & 2013 Elsevier Ltd. All rights reserved.