B-Spline Method for Solving Boundary Value Problems of Linear Ordinary Differential Equations

被引：0

作者：

Chang, Jincai ^{[1
]}

Yang, Qianli ^{[1
]}

Liu, Chunfeng ^{[1
]}

机构：

[1] Hebei Polytech Univ, Coll Sci, Tangshan 063009, Peoples R China

来源：

INFORMATION COMPUTING AND APPLICATIONS, PT 2 | 2010年 / 106卷

关键词：

B-spline function; Boundary-value problem; Linear shooting method; Finite difference method; NUMERICAL-SOLUTION; FINITE-DIFFERENCE; INTERPOLATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

B-spline functions play important roles in both mathematics and engineering. In this paper, we develop a numerical method for solving the boundary value problem of linear ODE with second-order by using B-spline. First, the cubic B-spline basis functions are introduced, and then we use the linear combination of cubic B-spline basis to approximate the solution. Finally, we obtain the numerical solution by solving tri-diagonal equations. The results are compared with finite difference method and linear shooting method through an example which shows that the B-spline method is feasible and efficient.

引用

页码：326 / 333

页数：8

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