Stability and Convergence of L1-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation

被引：3
|
作者：
Chen, Yanping [1 ]
Lin, Xiuxiu [1 ]
Zhang, Mengjuan [2 ]
Huang, Yunqing [2 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
[2] Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2023年 / 13卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Nonlinear fractional cable equation; spectral method; stability; error estimate; FINITE DIFFERENCE/SPECTRAL APPROXIMATIONS; COLLOCATION METHOD; DIFFUSION; SCHEME;
D O I：
10.4208/eajam.020521.140522
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A numerical scheme for the nonlinear fractional-order Cable equation with Riemann-Liouville fractional derivatives is constructed. Using finite difference discretizations in the time direction, we obtain a semi-discrete scheme. Applying spectral Galerkin discretizations in space direction to the equations of the semi-discrete systems, we construct a fully discrete method. The stability and errors of the methods are studied. Two numerical examples verify the theoretical results.
引用
收藏
页码：22 / 46
页数：25
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