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Trigonometric Tension B-Spline Method for the Solution of Problems in Calculus of Variations

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Abstract

In this paper, the tension B-spline collocation method is used for finding the solution of boundary value problems which arise from the problems of calculus of variations. The problems are reduced to an explicit system of algebraic equations by this approximation. We apply some numerical examples to illustrate the accuracy and implementation of the method.

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Authors and Affiliations

  1. Department of Mathematics and Applications, University of mohaghegh Ardabili, Ardabil, 56199-11367, Iran

    N. Alinia & M. Zarebnia

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  1. N. Alinia
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  2. M. Zarebnia
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Correspondence to N. Alinia.

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Alinia, N., Zarebnia, M. Trigonometric Tension B-Spline Method for the Solution of Problems in Calculus of Variations. Comput. Math. and Math. Phys. 58, 631–641 (2018). https://doi.org/10.1134/S0965542518050020

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  • DOI: https://doi.org/10.1134/S0965542518050020

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