Email this article Trigonometric Tension B-Spline Method for the Solution of Problems in Calculus of Variations
- Authors: Alinia N.1, Zarebnia M.1
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Affiliations:
- Department of Mathematics and Applications
- Issue: Vol 58, No 5 (2018)
- Pages: 631-641
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180199
- DOI: https://doi.org/10.1134/S0965542518050020
- ID: 180199
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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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About the authors
N. Alinia
Department of Mathematics and Applications
Author for correspondence.
Email: n.alinia@uma.ac.ir
Iran, Islamic Republic of, Ardabil, 56199-11367
M. Zarebnia
Department of Mathematics and Applications
Email: n.alinia@uma.ac.ir
Iran, Islamic Republic of, Ardabil, 56199-11367
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