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

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  • M. Zarebnia
  • M. Birjandi

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.

Suggested Citation

  • M. Zarebnia & M. Birjandi, 2012. "The Numerical Solution of Problems in Calculus of Variation Using B-Spline Collocation Method," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, August.
    • Handle: RePEc:hin:jnljam:605741
    DOI: 10.1155/2012/605741
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