一类边值问题的样条解法

Mumerical Method for Boundary Value Problems by Spline Functions

文［１］、［３］中讨论了Ｌｕ（ｔ）∶＝ｕ″（ｔ）－ｐ（ｔ）ｕ（ｔ）＝ｑ（ｔ）的边值问题的样条解法。本文将文［１］的方法推广到Ｌｕ（ｔ）∶＝ｕ″（ｔ）－Ｒ（ｔ）ｕ′（ｔ）－ｐ（ｔ）ｕ（ｔ）＝ｑ（ｔ）的情形。显见文［１］的结论是仅见中Ｒ（ｔ）＝０时的特例。文末举实例说明本方法是可行的。

Abstract In this paper, we consider boundary value problems Lu(t)=u ″(t)-R(t)u ′(t)-p(t)u(t)=q(t) by spline function. The main results in is a particular case of this paper for R(t)=0, and in the end, we give a numerical example.