A Novel Spectral Method for Burgers Equation on The Real Line

被引：3
作者：
Jiao, Yujian [1 ,2 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Sci Comp Key Lab Shanghai Univ, Shanghai 200234, Peoples R China
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2020年 / 10卷 / 03期
关键词：
Burger equation on the real line; spectral method; nonlinear problem; generalised Hermite function; FINITE-ELEMENT; COLLOCATION METHOD; LEGENDRE; APPROXIMATIONS; DECOMPOSITION;
D O I：
10.4208/eajam.201119.070220
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A spectral method for the Burgers equation on the whole real line based on generalised Hermite functions is proposed. The generalised stability and convergence of the method are proved. Numerical results confirm the theoretical findings and demonstrate the efficiency of the algorithm.
引用
收藏
页码：532 / 548
页数：17
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