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.
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页码：3525 / 3538
页数：13
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