杆振动方程隐式辛格式的迭代法

Iterative Methods for Symplectic Schemes of Rod Vibration Equation

利用tanh(x)函数构造四阶杆振动方程的隐式辛格式并建立相应的迭代解法,讨论其收敛性,最后用数值例子说明理论分析的正确性。

In this paper, we will present the implicit symplectic schemes of the four-order rod vibration equation via tanh(x) and the corresponding iterative methods. Then the conditions of convergence are given.Last, we give an illustration to show the correction of the iterative methods.