| 一类组合KdV方程的数值方法 |
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| 引用本文： | 左进明,张天德. 一类组合KdV方程的数值方法[J]. 高等学校计算数学学报, 2007, 29(3): 236-244 |
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| 作者姓名： | 左进明 张天德 |
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| 作者单位： | 山东理工大学数学与信息科学学院,淄博,255049;山东大学数学与系统科学学院,济南,250100 |
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| 基金项目： | 国家自然科学基金(10471079)，教育部高等学校博士点基金(20030422049)． |
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| 摘 要： | 1引言从Scott-Russell[1]提出在平静的水面上孤波运动的情形以后,大量的目光开始关注它的存在性、其中的性质和动态的交互情形[2],这是因为许多非线性动态的物理现象可以被描述成一个孤立子的模型[2,3].诸如,Korteweg-de Vries(KdV)方程[4,5,6],正弦
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| 关 键 词： | 组合KdV方程 数值方法 非线性动态 Scott 物理现象 孤立子 孤波 正弦 |
| 修稿时间： | 2005-07-09 |
COMPUTATIONAL METHODS FOR A CLASS COMPOUND KDV EQUATION |
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| Zuo Jinming,Zhang Tiande. COMPUTATIONAL METHODS FOR A CLASS COMPOUND KDV EQUATION[J]. Numerical Mathematics A Journal of Chinese Universities, 2007, 29(3): 236-244 |
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| Authors: | Zuo Jinming Zhang Tiande |
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| Affiliation: | School of Mathematics and Information Science, Shandong University of Technology, Zibo 255049;School of Mathematics and System Science, Shandong University, Jinan 250100 |
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| Abstract: | Computational methods based on a linearized implicit scheme are pro- posed for the solution of a class compound Korteweg-de Vries(KdV)equation.An important advantage to be gained from the linearized implicit methods is uncon- ditionally stable.Numerical results portraying a single line-soliton solution and the interaction of three-line solition are reported for the compound KdV equation. |
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| Keywords: | computational methods compound KdV equation(CKdV) stability analysis phase error. |
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