Journal of Applied Mathematics

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

M. Zarebnia and M. Birjandi

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 605741, 10 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495270

Digital Object Identifier
doi:10.1155/2012/605741

Mathematical Reviews number (MathSciNet)
MR2965703

Zentralblatt MATH identifier
1254.65023

Citation

Zarebnia, M.; Birjandi, M. The Numerical Solution of Problems in Calculus of Variation Using B-Spline Collocation Method. J. Appl. Math. 2012 (2012), Article ID 605741, 10 pages. doi:10.1155/2012/605741. https://projecteuclid.org/euclid.jam/1355495270


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