Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis

被引：74

作者：

Yang, Yin ^{[1
]}

Chen, Yanping ^{[2
]}

Huang, Yunqing ^{[1
]}

Wei, Huayi ^{[1
]}

机构：

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 73卷 / 06期

关键词：

Caputo derivative; Time-fractional diffusion-wave equation; Jacobi collocation method; Convergence analysis; VOLTERRA INTEGRAL-EQUATIONS; POLYNOMIAL-APPROXIMATION; NUMERICAL-SOLUTION; MATRIX; SPACE;

D O I：

10.1016/j.camwa.2016.08.017

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 solution of the time-fractional diffusion-wave equation. Essentially, the time fractional diffusion-wave equation differs from the standard diffusion-wave equation in the time derivative term. We propose a spectral collocation method in both temporal and spatial discretizations with a spectral expansion of Jacobi interpolation polynomial for this equation. The convergence of the method is rigorously established. Numerical tests are carried out to confirm the theoretical results. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：1218 / 1232

页数：15

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