四阶杆振动方程隐式辛格式的迭代解法  

Iterative Methods for Implicit Symplectic Schemes of Four Order Rod Vibration Equation

作　　者：黄浪扬[1] 曾文平[1] 

机构地区：[1]华侨大学数学系,福建泉州362011

出　　处：《泉州师范学院学报》2003年第6期9-13,共5页Journal of Quanzhou Normal University

基　　金：华侨大学自然科学基金资助项目(01HZR04)

摘　　要：对四阶杆振动方程utt+uxxxx=0构造了一个以tanh(x)为基础的隐式辛格式,然后对此格式建立了一种选代解法,并讨论了此迭代解法的收敛条件.数值例子表明:文章所给出的迭代解法是有效的,理论分析与实际计算相吻合.Implicid symplectic schemes are formed by using hyperbolic function tanh(x) for four order rod vibration equation u(tt)+u(xxxx)=0.Then iterative methods are constructed for the schemes,and its conditions of convergence were discussed.The numerical experiments show that the iterative methods are effective and the theoretical analysis is coincident with the calculation.

关 键 词：四阶杆振动方程 隐式辛格式 迭代解法 收敛条件 

分 类 号：O241.82[理学—计算数学]