An Enhanced Quartic B-spline Method for a Class of Non-linear Fifth-Order Boundary Value Problems

被引：2
作者：
Lang, Feng-Gong [1 ]
Xu, Xiao-Ping [1 ]
机构：
[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Shandong, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Quartic B-spline; fifth-order boundary value problem; numerical solution; numerical derivative; COLLOCATION METHODS; NUMERICAL-SOLUTION;
D O I：
10.1007/s00009-016-0757-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 errors. Numerical tests are performed and numerical results show that our new method is very practical and effective.
引用
收藏
页码：4481 / 4496
页数：16
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