An Enhanced Quartic B-spline Method for a Class of Non-linear 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：
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词：
Quartic B-spline; fifth-order boundary value problem; numerical solution; numerical derivative; 34K10; 34K28; 65D07;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we apply quartic B-splines properly to study a new approximation method for numerical solutions and numerical derivatives for a class of non-linear fifth-order boundary value problems. Their analytic solutions and any-order derivatives are well approximated with O(h6)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${O(h^{6})}$$\end{document} errors. Numerical tests are performed and numerical results show that our new method is very practical and effective.
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页码：4481 / 4496
页数：15
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