Numerical solution of fractional telegraph equation by using radial basis functions

被引：131

作者：

Hosseini, Vahid Reza ^{[1
]}

Chen, Wen ^{[1
]}

Avazzadeh, Zakieh ^{[1
]}

机构：

[1] Hohai Univ, Coll Mech & Mat, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2014年 / 38卷

关键词：

Fractional telegraph equation; Fractional derivative; Radial basis functions; INTERPOLATION; APPROXIMATIONS; SUBDIFFUSION;

D O I：

10.1016/j.enganabound.2013.10.009

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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 < alpha <= 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. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：31 / 39

页数：9

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