Paper Info
Title
Comparison of B-spline Method and Finite Difference Method to Solve BVP of Linear ODEs.
Abstract
B-spline functions play important roles in both mathematics and engineering. To describe 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, 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 through two examples which shows that the B-spline method is feasible and efficient. Index Terms B-spline function, Boundary-value problem, Finite difference method. © 2011 ACADEMY PUBLISHER.
Year
DOI
Venue
2011
10.4304/jcp.6.10.2149-2155
JCP
Keywords
DocType
Volume
boundary value problem,finite difference method
Journal
6
Issue
Citations 
PageRank 
10
2
0.41
References 
Authors
8
3
Name
Order
Citations
PageRank
Jincai Chang144.18
Qianli Yang221.43
Long Zhao364.10