二阶拟线性奇摄动常微分方程的数值解法  

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

作　　者：林平[1] 苏煜城[1] 

机构地区：[1]南京大学

出　　处：《应用数学和力学》1989年第11期955-959,共5页Applied Mathematics and Mechanics

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

关 键 词：常微分方程 边值问题 选代法 

分 类 号：O241.81[理学—计算数学]