| IMBq方程多辛算法的构造 |
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| 引用本文： | 郭峰. IMBq方程多辛算法的构造[J]. 福州大学学报(自然科学版), 2005, 33(6): 719-722 |
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| 作者姓名： | 郭峰 |
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| 作者单位： | 华侨大学数学系,福建,泉州,362021 |
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| 基金项目： | 华侨大学校科研和教改项目 |
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| 摘 要： | 考虑非线性Improved Modified Boussinesq方程的多辛Hamilton形式,并用隐式中点公式得到Preissman多辛积分.通过消去中间变量得到了一个新的等价于Preissman多辛积分的格式,进而证明它满足离散形式的多辛守恒律.最后以数值实验验证了它的有效性.
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| 关 键 词： | IMBq方程 多辛 守恒律 |
| 文章编号： | 1000-2243(2005)06-0719-04 |
| 修稿时间： | 2004-10-08 |
Construction of multi- symplectic algorithm for IMBq equation |
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| GUO Feng. Construction of multi- symplectic algorithm for IMBq equation[J]. Journal of Fuzhou University(Natural Science Edition), 2005, 33(6): 719-722 |
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| Authors: | GUO Feng |
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| Affiliation: | GUO Feng (Department of Mathematics,Huaqiao University,Quanzhou, Fujian 362021,China) |
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| Abstract: | The multi-symplectic Hamiltonian formulation for nonlinear Improved Modified Boussinesq equation is considered,and the Preissman multi-symplectic integrator is deduced via implicit midpoint rule.Through eliminating middle variables,we get a new scheme which is equivalent to the Preissman multi-symplectic integrator.Moreover,we prove that it satisfies discrete multi-symplectic conservation law.In the end,we carry out some numerical experiments to illustrate its validity. |
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| Keywords: | IMBq equation multi-symplectic conservation law |
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