A new cubic B-spline method for linear fifth order boundary value problems

被引：14
|
作者：
Lang F.-G. [1 ]
Xu X.-P. [1 ]
机构：
[1] School of Mathematical Sciences, Ocean University of China, Qingdao
来源：
Journal of Applied Mathematics and Computing | 2011年 / 36卷 / 1-2期
关键词：
Cubic B-spline; Fifth order boundary value problem; Numerical solution;
D O I：
10.1007/s12190-010-0390-y
中图分类号：
学科分类号：
摘要：
In this paper, we mainly study the numerical solution of linear fifth order boundary value problems by using cubic B-splines. Our algorithm develops not only the cubic spline approximation solution but also the approximation derivatives of first order to fourth order of the analytic solution at the same time. This new method has lower computational cost than many other methods and is second order convergent. Numerical examples are given to demonstrate the effectiveness of our method. © 2010 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：101 / 116
页数：15
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