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

M. Zarebnia and M. Birjandi

Journal of Applied Mathematics, 2012, vol. 2012, 1-10

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:605741

DOI: 10.1155/2012/605741

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