求解奇异边值问题的一种三次样条方法

A cubic spline solution to singular two-point boundary value problems

构造了一种三次样条.借助该样条求解一类奇异边值问题.首先,应用罗必达法则去除奇异性,将问题转化为标准的边值问题;然后,构造一种三次样条求解标准化后的边值问题;最后,对几个算例进行数据模拟.

This article proposes a method based on a kind of cubic spline for solving singular two-point boundary value problems. First, modifying the problem at the singular point by L＇Hospital rule, Next, formulating a cubic spline to solve the modified boundary value problem.. The algorithm is tested on three model problems.