一类Kdv-Burgers型方程的拟谱逼近

数学季刊 ›› 2004, Vol. 19 ›› Issue (3): 267-272.

一类Kdv-Burgers型方程的拟谱逼近

College of Mathematics and Information Science, Henan University, Kaifeng 475001, China; De partment of Basic Courses, Zhengzhou Railway Vocational and Technical College, Zhengzhou 450052, China

收稿日期:2002-10-21 出版日期:2004-09-30 发布日期:2024-03-12
作者简介:ZHANG Rui-feng(1964-),female,native of Kaifeng,Henan,an associate professor of Henan University,Ph.D.,engages in differential equations.
基金资助:
Supported by the Natural Science Foundation of Henan Educational Committee(2003110005)； Supported by the Natural Science Foundation of Henan University(XK02069)；

Pseudo-spectral Approximations for a Class of the Kdv-Burgers Type Equation

College of Mathematics and Information Science, Henan University, Kaifeng 475001, China; De partment of Basic Courses, Zhengzhou Railway Vocational and Technical College, Zhengzhou 450052, China

Received:2002-10-21 Online:2004-09-30 Published:2024-03-12
About author:ZHANG Rui-feng(1964-),female,native of Kaifeng,Henan,an associate professor of Henan University,Ph.D.,engages in differential equations.
Supported by:
Supported by the Natural Science Foundation of Henan Educational Committee(2003110005)； Supported by the Natural Science Foundation of Henan University(XK02069)；

摘要/Abstract

摘要： In this paper, the pseudo-spectral approximations for a class of the Kdv-Burgers type equation is presented. Convergence and stability of the approximation have been proved by Sobolev’s inequalities and the bounded extensive method of the nonlinear function. Finally, the numerical examples are proposed.

关键词: Kdv-Burgers , equation;pseudo-spectral , scheme;numerical , experiments

Abstract: In this paper, the pseudo-spectral approximations for a class of the Kdv-Burgers type equation is presented. Convergence and stability of the approximation have been proved by Sobolev’s inequalities and the bounded extensive method of the nonlinear function. Finally, the numerical examples are proposed.

Key words: Kdv-Burgers , equation;pseudo-spectral , scheme;numerical , experiments

中图分类号:

O241.82

张瑞凤, 杨慧. 一类Kdv-Burgers型方程的拟谱逼近[J]. 数学季刊, 2004, 19(3): 267-272.

ZHANG Rui-feng, YANG Hui . Pseudo-spectral Approximations for a Class of the Kdv-Burgers Type Equation[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(3): 267-272.