Composite spectral method for the Neumann problem of the Burgers equation on the half line

被引：3

作者：

Wang, Tian-jun ^{[1
]}

Chai, Guo ^{[1
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471003, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2023年 / 134卷

关键词：

Composite spectral method; Burgers equations; Neumann boundary condition; The half line; COLLOCATION METHOD; ESSENTIAL IMPOSITION; LEGENDRE; APPROXIMATION;

D O I：

10.1016/j.camwa.2023.01.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A composite spectral method that exactly satisfies the homogeneous Neumann boundary condition is presented for the Burgers equation on the half line. The composite method composes strengths of traditional single methods. Some new composite quasi-orthogonal approximation results are established. The composite spectral schemes are provided for a linear model problem and the Burgers equation with the Neumann boundary condition. Its convergence and stability are strictly proved. Numerical results are given to show the efficiency of the approach and agree well with theory analysis.

引用

页码：194 / 206

页数：13

共 29 条

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