| 膜自由振动方程的多辛Runge-Kutta-Nystr(o)m方法 |
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| 引用本文： | 唐贤芳,赵景军.膜自由振动方程的多辛Runge-Kutta-Nystr(o)m方法[J].黑龙江大学自然科学学报,2010,27(5). |
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| 作者姓名： | 唐贤芳 赵景军 |
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| 摘 要： | 考虑膜自由振动方程的多辛Runge-Kutta-Nystr(o)m(MSRKN)方法,在空间方向和时间方向上,应用RKN方法得到一个多辛格式.为了数值求解膜自由振动方程,建立了显式的多辛格式.数值结果表明:MSRKN方法不但在保持多辛的几何结构方面,而且在某些物理学保持守恒律方面都具有更大的优越性.
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| 关 键 词： | 膜自由振动方程 多辛守恒律 Runge-Kutta-Nystr(o)m方法 |
Multi-symplectic Runge-Kutta-Nystr(o)m methods for membrance free vibration equation |
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| TANG Xian-fang,ZHAO Jing-jun.Multi-symplectic Runge-Kutta-Nystr(o)m methods for membrance free vibration equation[J].Journal of Natural Science of Heilongjiang University,2010,27(5). |
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| Authors: | TANG Xian-fang ZHAO Jing-jun |
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| Abstract: | Multi-symplectic Runge-Kutta-Nystr(o)m (MSRKN) methods for membrance free vibration equation are considered. A multi-symplectic integrator is investigated by using RKN method in spatial direction and in temporal direction. For numerically solving membrance free vibration equation, explicit multi-symplectic schemes are constructed and investigated. Numerical results reveal the superiorities of MSRKN methods not only in the conservation of multi-symplectic geometric structure but also in the preservation of some crucial conservation properties in physics. |
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| Keywords: | membrance free vibration equation multi-symplectic conservation law Runge-Kutta-Nystr(o)m methods |
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