| 非线性BBM方程的数值解法 |
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| 引用本文： | 左进明.非线性BBM方程的数值解法[J].山东大学学报(理学版),2008,43(4):47-50. |
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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。
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| 关 键 词： | 数值解法 BBM方程 孤立子波 |
| 文章编号： | 1671-9352(2008)04-0047-04 |
| 修稿时间： | 2007年4月10日 |
A computational method for the nonlinear BBM equation |
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| ZUO Jin-ming.A computational method for the nonlinear BBM equation[J].Journal of Shandong University,2008,43(4):47-50. |
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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: | 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. |
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| Keywords: | computational method BBM equation solition waves |
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