CHEBYSHEV RATIONAL APPROXIMATIONS FOR THE ROSENAU-KDV-RLW EQUATION ON THE WHOLE LINE

被引：7

作者：

Foroutan, Mohammadreza ^{[1
]}

Ebadian, Ali ^{[1
]}

机构：

[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2018年 / 16卷 / 01期

关键词：

Error estimate; modified Chebyshev rational approximation; spectral method; stability of the scheme;

D O I：

10.28924/2291-8639-16-2018-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the use of a modified Chebyshev rational approximations for the Rosenau-KdV-RLW equation on the whole line with initial-boundary values. It is shown that the proposed scheme leads to optimal error estimates. Furthermore, the stability and convergence of the proposed schemes are proved. The fully discrete Chebyshev pseudo-spectral scheme is constructed. Numerical results confirm well with the theoretical results. The idea and techniques presented in this paper will be useful to solve many other problems.

引用

页码：1 / 15

页数：15

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