A Linearized Difference Scheme for Time-Fractional Sine-Gordon Equation

被引：0
|
作者：
Xing, Zhiyong [1 ]
Wen, Liping [2 ]
机构：
[1] Shaoyang Univ, Dept Math, Shaoyang 422000, Hunan, Peoples R China
[2] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2021年 / 13卷 / 02期
关键词：
Time-fractional Sine-Gordon equation; Caputo fractional derivative; linearized difference scheme; convergence and stability;
D O I：
10.4208/aamm.OA-2019-0346
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a linearized difference scheme is proposed for the Sine-Gordon equation (SGE) with a Caputo time derivative of order alpha is an element of (1,2). Comparing with the existing linearized difference schemes, the proposed numerical scheme is simpler and easier for theoretical analysis. The solvability, boundedness and convergence of the difference scheme are rigorously established in the L-infinity norm. Finally, several numerical experiments are provided to support the theoretical results.
引用
收藏
页码：285 / 295
页数：11
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