理论数学

Vol.3 No.6 (November 2013)

三次样条插值函数的新解法
New Solution of Cubic Spline Interpolation Function

 

作者:

刘永春 , 王 强 :安徽理工大学理学院,淮南

 

关键词:

三次样条插值第二边界条件二阶导数Cubic Spline Interpolation Second Boundary Second Derivative

 

摘要:

本文在分析了三次样条插值里三转角算法的基础上,对第二种边界条件的情形进行了推广,研究了此情形下任意两插值点二阶导数已知的样条函数的解法。文章的最后,通过一个例子,说明了此计算方法。
>In this article, based on analysis of three turning angles algorithm of cubic spline interpolation, the cubic spline interpolation is generalized on the condition of the second boundary. The methods are presented on the condition that the second derivative of arbitrary two nodes is given. At the end of the article, this cal- culation method is illustrated through an example.

文章引用:

刘永春 , 王 强 (2013) 三次样条插值函数的新解法。 理论数学, 3, 362-367. doi: 10.12677/PM.2013.36055

 

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