二阶常微分方程组边值问题的一种数值解法

A NUMERICAL SOLUTION OF THE BOUNDARY VALUE PROBLEM FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATTIONS

摘要: 本文用压缩变挟方法,求解了函数解随自变量增加而迅速增长的一类常微分方程的边值问题。结果表明,这种方法,可加快收敛速度。在奇点W=0附近,采用局部解析近似处理,得到了比较满意的数值结果。

Abstract: In this paper, a kind of boundary value problems of ordinary differential equations, in which the function solutions increase rapidly, are solved by means of compressed transformation.It has been shown that the convergence can be speed up in this way.Some satisfied numerical results are obtained by using an analytic approach near the singular point w=0.