| ZK-MEM方程的多辛Preissmann格式 |
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| 引用本文： | 王俊杰,王连堂,杨宽德.ZK-MEM方程的多辛Preissmann格式[J].杭州师范大学学报(自然科学版),2012(5):453-458. |
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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： | 普洱学院数学系;西北大学数学系 |
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| 摘 要： | ZK-MEM方程作为一类重要的非线性方程有着许多广泛的应用前景,基于Hamilton空间体系的多辛理论研究了ZK-MEM方程的数值解法,讨论了利用Preissmann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、局部能量守恒律.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： | Hamiton系统 Preissmann格式 多辛算法 ZK-MEM方程 |
Multi-Symplectic Preissmann Scheme for ZK-MEM Equation |
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| Authors: | WANG Jun-jie WANG Lian-tang YANG Kuan-de |
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| Institution: | 1(1.Mathematics Department of Puer University,Pu’er 665000,China; 2.Mathematics Department of Northwest University,Xi’an 710127,China) |
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| Abstract: | ZK-MEM equation is a typical nonlinear wave equation with a very wide range of applications.Basing on the multi-symplectic algorithm in Hamilton space systrem,the paper researched on the numerical solutions for ZK-MEM equation,discussed the methods of constructing the discrete multi-symplectic scheme with Preissmann method,and presented a kind of typical semi-implicit multi-symplectic scheme,which satisfied with multi-symplectic conservation laws and partial energy conservation law.The results of numerical experiments show that the discrete multi-symplectic scheme has better long-time numerical stability. |
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| Keywords: | Hamilton systrem Preissmann scheme multi-symplectic algorithm ZK-MEM equation |
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