非线性BBM方程的数值解法

非线性BBM方程的数值解法

左进明

山东理工大学数学与信息科学学院, 山东淄博 255049

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 左进明

A computational method for the nonlinear BBM equation

ZUO Jin-ming

School of Mathematics and Information Science, Shandong University of Technology, Zibo 255049, Shandong, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: ZUO Jin-ming

摘要/Abstract

摘要： 采用一种线性隐格式来解非线性BBM方程,这种方法是无条件稳定的。数值实验描述了单个线性波形运动的情形以及两个波形交互的情形,结果表明,这种格式使用简便,稳定性好,有很好的精度。而且它们均满足波传播的运动规律。

关键词: 数值解法, 孤立子波 , BBM方程

Abstract: A computational method based on a linearized implicit scheme was proposed for the solution of the BBM equation.An important advantage to be gained from the linearized implicit method is unconditional stablility. Numerical results portraying a single line-soliton solution and the interaction of two-line solitions were reported for the BBM equation. The results show that the method has good stability and accuracy.

Key words: solition waves , BBM equation, computational method

中图分类号:

O241.82

左进明 . 非线性BBM方程的数值解法[J]. J4, 2008, 43(4): 47-50 .

ZUO Jin-ming . A computational method for the nonlinear BBM equation[J]. J4, 2008, 43(4): 47-50 .

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