广义KdV方程的数值解法

广义KdV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:2008-04-14 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 method for the generalized KdV equation

ZUO Jin-ming

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

Received:2008-04-14 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广义非线性KdV方程,这种方法是无条件稳定的.数值实验描述了单个线性孤立子波运动的情形以及两个孤立子波交互的情形,结果表明,这种方法有很好的稳定性和精度.

关键词: 数值解法, 孤立子波, KdV方程

Abstract: omputational method based on a linearized implicit scheme was proposed for the solution of the generalized Kortewegde Vries (KdV) equation.An important advantage to be gained from the linearized implicit method is unconditional stable.Numerical results portraying a single linesoliton solution and the interaction of two linesolitions were reported for the generalized KdV equation. The results show that this method has good stability and accuracy.

Key words: solition waves, KdV equation, numerical solution

中图分类号:

O241.82

左进明 . 广义KdV方程的数值解法[J]. J4, 2008, 43(6): 44-48 .

ZUO Jin-ming . Computational method for the generalized KdV equation[J]. J4, 2008, 43(6): 44-48 .

参考文献

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[1]	吕秀敏,葛倩,李金. 重心插值配点法求解小振幅长波广义BBM-KdV方程[J]. 《山东大学学报(理学版)》, 2024, 59(8): 67-76.
[2]	左进明1,张天德2. 五阶色散KdV方程的交替分段显-隐差分格式[J]. J4, 2010, 45(10): 116-121.
[3]	朱宏,刘雄 . 一类Wick型随机KdV-MKdV方程的白噪声泛函解[J]. J4, 2008, 43(5): 45-49 .
[4]	左进明 . 非线性BBM方程的数值解法[J]. J4, 2008, 43(4): 47-50 .
[5]	来翔 . 广义KdV方程半离散有限元方法[J]. J4, 2006, 41(1): 78-81 .

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