常微分方程的不动点迭代格式

Fixed Point Method of Ordinary Differential Equations

在常微分方程的数值解法中,Euler的隐式格式稳定性较好,但由于它为隐式,因而给计算带来了极大地不方便。为了解决此问题,本文给出了一种数值解法———常微分方程的不动点迭代格式。

In the fixed point method of ordinary differential equations, implicit Euler methods has good stability. Because it is implicit, it poses a great inconvenience to the calculation. This article presents a numerical method, namely the fixed point method of ordinary differential equations to solve this problem.