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奇异微分方程边值问题的数值解法
引用本文:何启兵 牟宗泽. 奇异微分方程边值问题的数值解法[J]. 计算物理, 1994, 11(1): 17-26
作者姓名:何启兵 牟宗泽
作者单位:核工业西南物理研究院, 成都 610041
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。

关 键 词:奇异边值问题  正则化方法  差分方法  
收稿时间:1992-07-16
修稿时间:1993-01-19

A NUMERICAL METHOD FOR SINGULAR BOUNDARY VALUE PROBLEM FOR ORDINARY DIFFERENTIAL EQUATION
He Qibing,Mou Zongze. A NUMERICAL METHOD FOR SINGULAR BOUNDARY VALUE PROBLEM FOR ORDINARY DIFFERENTIAL EQUATION[J]. Chinese Journal of Computational Physics, 1994, 11(1): 17-26
Authors:He Qibing  Mou Zongze
Affiliation:Southwestern Institute of Physics, ChengDu 610041
Abstract: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.
Keywords:singular boundary value problem  regularizing method  difference method  
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