四阶杆振动方程的正则方程组及其辛格式  

Canonical Systems and Symplectic Scheme for Four Order Rod Vibration Equation

作　　者：黄浪扬[1] 

机构地区：[1]华侨大学数学系,福建泉州362021

出　　处：《漳州师范学院学报（自然科学版）》2004年第4期33-37,共5页Journal of ZhangZhou Teachers College（Natural Science)

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.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.

关 键 词：四阶杆振动方程 辛格式 正则方程组 HAMILTON正则方程 高阶偏导数 数值求解 中心差 中点 欧拉 种数 

分 类 号：O241[理学—计算数学] G633[理学—数学]