Quartic B-spline collocation method for fifth order boundary value problems

被引：0
|
作者：
Feng-Gong Lang
Xiao-Ping Xu
机构：
[1] Ocean University of China,School of Mathematical Sciences
来源：
Computing | 2011年 / 92卷
关键词：
Quartic B-spline; Collocation method; Numerical solution; Fifth order boundary value problem; 34K10; 34K28; 65D07; 65L60;
D O I：
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学科分类号：
摘要：
In this paper, we present a new quartic B-spline collocation method for linear and nonlinear fifth order boundary value problems. The method is fourth order convergent. It develops not only the quartic spline approximation solution but also the higher order approximation derivatives. Numerical examples are performed and comparisons with some other methods are also made. Numerical results show our method has higher accuracy and efficiency.
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