Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line

被引：0
|
作者：
Tian, Liutao [1 ]
Jiao, Yujian [1 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源：
JOURNAL OF MATHEMATICAL STUDY | 2022年 / 55卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Burgers equation; spectral method; modified Legendre rational functions; problem on the whole line; FINITE-DIFFERENCE SOLUTIONS; APPROXIMATION; ELEMENT; MODEL;
D O I：
10.4208/jms.v55n4.22.05
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we propose a spectral method for the Burgers equation using the modified Legendre rational functions, and prove its generalized stability and convergence. Numerical results demonstrate the efficiency of the new approach.
引用
收藏
页码：415 / 431
页数：17
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