| 线性Boussinesq方程的多辛Runge Kutta Nystrom算法 |
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| 引用本文： | 洪丽莉,张凯,张然.线性Boussinesq方程的多辛Runge Kutta Nystrom算法[J].吉林大学学报(理学版),2007,45(6):892-898. |
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| 作者姓名： | 洪丽莉 张凯 张然 |
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| 作者单位： | 1. 辽宁科技大学 理学院, 辽宁省 鞍山 114051; 2. 吉林大学 数学学院, 长春 130012 |
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| 摘 要： | 考虑线性Boussinesq方程的多辛Hamilton形式, 利用Runge Kutta Nystrom算法离散此多辛结构, 得到了离散多辛守恒律, 并求得一个等价于Runge Kutta Nystrom积分的新格式, 证明了它的稳定性条件. 数值实验结果表明了理论分析的正确性.
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| 关 键 词： | 线性Boussinesq方程 Runge KuttaNystrom算法 多辛 守恒律 稳定性 |
| 文章编号： | 1671-5489（2007）06-0892-07 |
| 收稿时间： | 2007-02-06 |
| 修稿时间： | 2007-02-06 |
Multi-symplectic Runge-Kutta Nystr(o)m Methods for Linear Boussinesq Equations |
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| HONG Li-li,ZHANG Kai,ZHANG Ran.Multi-symplectic Runge-Kutta Nystr(o)m Methods for Linear Boussinesq Equations[J].Journal of Jilin University: Sci Ed,2007,45(6):892-898. |
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| Authors: | HONG Li-li ZHANG Kai ZHANG Ran |
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| Institution: | 1. College of Sciences, Liaoning Science and Technology University, Anshan 114051, Liaoning Province, China;2. College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | We considered the multi-symplectic Hamilton system for the linear Boussinesq equations. We applied Runge-Kutta Nystrom methods to discreting the multi-symplectic scheme, and obtained the discrete muhi-symplectic conservation law. Then we constructed a new scheme which is equivalent to the Runge-Kutta Nystrom integral, and derived its stability condition. Finally we presented some numerical experiments which illustrate the validity of the scheme. |
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| Keywords: | linear Boussinesq equation Runge-Kutta Nystrom method multi-symplectic conservation law stability |
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