The Numerical Solution of Linear Sixth Order Boundary Value Problems with Quartic B-Splines

被引：0
|
作者：
Li, Mingzhu [1 ,2 ]
Chen, Lijuan [1 ]
Ma, Qiang [2 ]
机构：
[1] Qingdao Technol Univ, Sch Sci, Qingdao 266033, Peoples R China
[2] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2013年
关键词：
CUBIC-SPLINES;
D O I：
10.1155/2013/962165
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A quartic B-spline method is proposed for solving the linear sixth order boundary value problems. The method converts the boundary problem to solve a system of linear equations and obtains coefficients of the corresponding B-spline functions. The method has the convergence of two order. It develops not only the quartic spline approximate solution but also the higher order approximate derivatives. Two numerical examples are presented to verify the theoretical analysis and show the validity and applicability of the method. Compared with other existing recent methods, the quartic B-spline method is a more efficient and effective tool.
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页数：7
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