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

页码：415 / 431

页数：17

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