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, issue 1

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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https://doi.org/10.1155/2012/605741

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:605741

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