| 四阶杆振动方程的正则方程组及其辛格式 |
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| 引用本文： | 黄浪扬. 四阶杆振动方程的正则方程组及其辛格式[J]. 漳州师范学院学报, 2004, 17(4): 33-37 |
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| 作者姓名： | 黄浪扬 |
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| 作者单位： | 华侨大学数学系,福建泉州362021 |
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| 摘 要： | 本文用中心差商代替高阶偏导数, 将四阶杆振动方程转化成三种Hamilton正则方程组,然后利用辛欧拉中点格式分别对其数值求解,并对三种数值结果进行比较.数值结果表明本文所构造的辛格式是有效的.
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| 关 键 词： | 四阶杆振动方程 正则方程组 辛欧拉中点格式 |
| 文章编号： | 1008-7826(2004)04-0033-05 |
| 修稿时间： | 2004-04-08 |
Canonical Systems and Symplectic Scheme for Four Order Rod Vibration Equation |
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| HUANG Lang-yang. Canonical Systems and Symplectic Scheme for Four Order Rod Vibration Equation[J]. Journal of ZhangZhou Teachers College(Natural Science), 2004, 17(4): 33-37 |
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| Authors: | HUANG Lang-yang |
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| Abstract: | Tree Hamiltonian canonical systems of four order rod vibration equation is obtained by substituting symmetry difference quotient for high order partial derivative. And the numerical solutions are computed by using symplectic Euler's mid-point schemes in this paper, which show that the symplectic schemes constructed in this paper are effective. |
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| Keywords: | four order rod vibration equation canonical systems Symplectic Euler's mid-point scheme |
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