A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations

被引：1

作者：

Mahmoud A. Zaky

机构：

[1] National Research Centre,Department of Applied Mathematics

来源：

Computational and Applied Mathematics | 2018年 / 37卷

关键词：

Spectral tau method; Multi-term time-fractional diffusion equation; Caputo fractional derivative; Convergence analysis; 65M70; 34A08; 33C45; 11B83;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this study, a Legendre spectral tau method is revisited to handle the multi-term time-fractional diffusion equations (MTT-FDEs). An error estimate and rigorous convergence analysis are carried out using some critical theorems. The applicability and accuracy of the solution method are demonstrated by a numerical example to verify the theoretical analysis.

引用

页码：3525 / 3538

页数：13

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