Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg-Landau equations

被引：27
作者：
Zeng, Wei [1 ,2 ]
Xiao, Aiguo [1 ,2 ]
Li, Xueyang [1 ,2 ]
机构：
[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
[2] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 93卷
基金：
中国国家自然科学基金;
关键词：
Multidimensional fractional; Ginzburg-Landau equation; Fourier pseudo-spectral method; Discrete mass and energy inequalities; Error estimate; DIFFERENCE SCHEME; DYNAMICS;
D O I：
10.1016/j.aml.2019.01.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex space fractional Ginzburg-Landau equations. The continuous mass and energy inequalities as well as their discrete versions are presented. Moreover, by the discrete mass and energy inequalities, the error estimate of the Fourier pseudo-spectral scheme is established, and the scheme is proved to have the spectral accuracy. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：40 / 45
页数：6
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