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

• Jincai Chang
• Qianli Yang
• Chunfeng Liu
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 106)

## Abstract

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.

### Keywords

B-spline function Boundary-value problem Linear shooting method Finite difference method

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## Copyright information

© Springer-Verlag Berlin Heidelberg 2010

## Authors and Affiliations

• Jincai Chang
• 1
• Qianli Yang
• 1
• Chunfeng Liu
• 1
1. 1.College of ScienceHebei Polytechnic UniversityTangshanChina