| 广义KdV方程的数值解法 |
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| 引用本文： | 左进明.广义KdV方程的数值解法[J].山东大学学报(理学版),2008,43(6):44-48. |
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| 作者姓名： | 左进明 |
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| 作者单位： | 山东理工大学数学与信息科学学院,山东,淄博,255049 |
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| 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.
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| 关 键 词： | 数值解法 KdV方程 孤立子波 |
| 收稿时间： | 2008-04-14 |
Computational method for the generalized KdV equation |
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| ZUO Jin-ming.Computational method for the generalized KdV equation[J].Journal of Shandong University,2008,43(6):44-48. |
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| Authors: | ZUO Jin-ming |
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| Institution: | School of Mathematics and Information Science, Shandong University of Technology, Zibo 255049, Shandong, China |
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| 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. |
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| Keywords: | numerical solution KdV equation solition waves |
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