摘要
本文给出求解奇异微分方程边值问题的正则化方法。解在奇点邻域内展开成级数形式,在余下区间上推导出正则边值问题,应用差分方法求解,并给出收敛结果和数值算例.
A numerical method so called regularizing method applies for singular boundary value problem for ordinary differential equation with solutions that can be represented as series expansions on a subinterval near the singularity. A regular boundary value problem is derived on thd remaining interval, for which a difference method is used. Convergence results and numerical examples are given.
出处
《计算物理》
CSCD
北大核心
1994年第1期17-26,共10页
Chinese Journal of Computational Physics
关键词
奇异微分方程
边值问题
数值解
singular boundary value problem, regularizing method, difference method.