Journal of Applied Mathematics
Volume 2012 (2012), Article ID 605741, 10 pages
Research Article

The Numerical Solution of Problems in Calculus of Variation Using B-Spline Collocation Method

Department of Mathematics, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran

Received 25 March 2012; Revised 10 July 2012; Accepted 10 July 2012

Academic Editor: Saeid Abbasbandy

Copyright © 2012 M. Zarebnia and M. Birjandi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A B-spline collocation method is developed for solving boundary value problems which arise from the problems of calculus of variations. Some properties of the B-spline procedure required for subsequent development are given, and they are utilized to reduce the solution computation of boundary value problems to some algebraic equations. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.