奇异微分方程边值问题的数值解法

A NUMERICAL METHOD FOR SINGULAR BOUNDARY VALUE PROBLEM FOR ORDINARY DIFFERENTIAL EQUATION

  • 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。

     

    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.

     

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