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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 5, Page 663 (Mi zvmmf10728)  
This article is cited in 9 scientific papers (total in 9 papers)

Trigonometric tension B-spline method for the solution of problems in calculus of variations

N. Alinia, M. Zarebnia

Department of Mathematics and Applications, University of mohaghegh Ardabili, Ardabil, Iran
Citations (9)
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.
Key words: calculus of variation, tension, B-spline, numerical method.
Received: 25.02.2016
Revised: 13.02.2016
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 5, Pages 631–641
DOI: https://doi.org/10.1134/S0965542518050020
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: N. Alinia, M. Zarebnia, “Trigonometric tension B-spline method for the solution of problems in calculus of variations”, Zh. Vychisl. Mat. Mat. Fiz., 58:5 (2018), 663; Comput. Math. Math. Phys., 58:5 (2018), 631–641
Citation in format AMSBIB
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\paper Trigonometric tension B-spline method for the solution of problems in calculus of variations
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\pages 663
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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