一类组合KdV-Burgers方程的数值解法

一类组合KdV-Burgers方程的数值解法

左进明，周运明

山东理工大学数学与信息科学学院，山东淄博255049

收稿日期:2005-09-05 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

Computational methods for a class compound KdV-Burgers equation

ZUO Jin-ming,ZHOU Yun-ming

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

Received:2005-09-05 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解组合的KdVBurgers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.

关键词: 数值方法, 组合KdVBurgers方程, 孤波 , 行波

Abstract: omputational methods based on a linearized implicit scheme are proposed for the solution of a class compound KdVBurgers equation. An important advantage to be gained from the linearized implicit methods is unconditionally stable. Numerical results portraying a single linesoliton solution and the interaction of twoline soliton are reported for the compound KdVBurgers equation.And they show that the method has good stability and accuracy.

Key words: solition waves , traveling waves, compound KdV-Burgers equation, computational methods

左进明,周运明 . 一类组合KdV-Burgers方程的数值解法[J]. J4, 2006, 41(4): 48-52 .

ZUO Jin-ming,ZHOU Yun-ming . Computational methods for a class compound KdV-Burgers equation[J]. J4, 2006, 41(4): 48-52 .

参考文献

相关文章 4

[1]	张秋华, 刘利斌, 周恺. 时滞非局部扩散Lotka-Volterra 竞争系统行波解的存在性[J]. 山东大学学报（理学版）, 2015, 50(01): 90-94.
[2]	刘军. 带Markovian跳的随机时滞微分方程EM数值方法的收敛率[J]. J4, 2013, 48(3): 84-88.
[3]	郭尊光1,孔涛2*,李鹏飞2, 张微2. 基于最优实施边界的美式期权定价的数值方法[J]. J4, 2012, 47(3): 110-119.
[4]	吕海玲,刘希强,牛磊. 一类推广的[G′/G]展开方法及其在非线性数学物理方程中的应用[J]. J4, 2010, 45(4): 100-105.

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed