| 变形Boussinesq方程组的多辛Preissmann格式计算研究 |
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| 引用本文： | 王俊杰,王连堂,杨宽德.变形Boussinesq方程组的多辛Preissmann格式计算研究[J].动力学与控制学报,2012,10(2):130-135. |
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| 作者姓名： | 王俊杰 王连堂 杨宽德 |
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| 作者单位： | 思茅师范高等专科学校,普洱 665000;西北大学数学系,西安 710127;西北大学数学系,西安 710127;思茅师范高等专科学校,普洱 665000 |
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| 摘 要： | 基于Hamilton空间体系的多辛理论,研究了变形Boussinesq方程组的数值解法. 利用Preissman方法构造离散多辛格式的途径,并构造了一种典型的半隐式的多辛格式,该格式满足多辛守恒律. 数值算例结果表明: 该多辛离散格式具有较好的长时间数值稳定性.
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| 关 键 词： | 变形Boussinesq方程组 Preissmann方法 多辛守恒律 |
| 收稿时间： | 2011/12/8 0:00:00 |
| 修稿时间： | 3/4/2012 12:00:00 AM |
Multi-symplectic preissmann methods to compute the variant boussinesq equations |
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| Wang Junjie,Wang Liantang and Yang Kuande.Multi-symplectic preissmann methods to compute the variant boussinesq equations[J].Journal of Dynamics and Control,2012,10(2):130-135. |
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| Authors: | Wang Junjie Wang Liantang and Yang Kuande |
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| Affiliation: | Wang Junjie Wang Liantang Yang Kuande(1. Mathematics Department of Si mao Teachers＇College ,Pu＇er 665000,China) (2. Mathematics Department of Northwest University, Xi＇an 710127, China) |
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| Abstract: | The variant Boussinesq equations were studied based on the multi-symplectic theory in Hamilton space. The muhi-symplectic Preissmann method was reviewed, and a semi-implicit scheme with certain discrete conservation laws was constructed to solve the first order partial differential equations derived from the variant Boussinesq equations. The results of numerical experiment for soliton solution of the variant Boussinesq equations were obtained,which show that the multi-symplectic Preissmann method is an efficient algorithm with excellent long time numerical behaviors. |
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| Keywords: | the variant Boussinesq equations Preissmann method multi-symplectic conservation law |
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