二阶拟线性奇摄动常微分方程的数值解法

本文讨论二阶拟线性奇摄动常微分方程边值问题的数值解法.首先以一个非线性一阶初值问题近似原问题,然后用迭代法求解该近似问题.最后通过迭代法与古典格式得到一个比较满意的结果.

Numerical Solution of Quasilinear Singularly Perturbed Ordinary Differential Equation without Turning Points

In this paper we consider a quasilinear second order ordinary diferential equation with a small parameter ε, Firstly an approximate problem is constructed. Then an iterative procedure is developed. Finally we give an algorithm whose accuracy is good for arbitrary ε>0.