Spectral methods for the time fractional diffusion-wave equation in a semi-infinite channel

被引：30

作者：

Chen, Hu ^{[1
]}

Lu, Shujuan ^{[1
]}

Chen, Wenping ^{[1
]}

机构：

[1] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 71卷 / 09期

关键词：

Fractional diffusion-wave equation; Fully discrete spectral method; Alternating direction implicit method; Semi-infinite channel; Error analysis; FINITE-DIFFERENCE APPROXIMATIONS; DISCONTINUOUS GALERKIN METHOD; ELEMENT-METHOD; CALCULUS; SPACE; SCHEME;

D O I：

10.1016/j.camwa.2016.02.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the numerical approximation of the time fractional diffusion-wave equation in a semi-infinite channel. The time fractional derivative is described in Caputo sense with order gamma (1 < gamma < 2). A fully discrete spectral scheme based on a finite difference method in the time direction and a Laguerre-Legendre spectral method in the space direction is proposed. We also propose an alternating direction implicit (ADI) spectral scheme in order to reduce the amount of computation. The stability and convergence of both schemes are rigorously established. Numerical results are presented to support our theoretical analysis. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：1818 / 1830

页数：13

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