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Journal of Computational and Engineering Mathematics, 2017, Volume 4, Issue 2, Pages 26–40
DOI: https://doi.org/10.14529/jcem170203 (Mi jcem88) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Computational Mathematics

Numerical investigation for the start control and final observation problem in model of an I-beam deformation

N. A. Manakova, K. V. Vasiuchkova

South Ural State University (Chelyabinsk, Russian Federation)
Full-text PDF (1395 kB) Citations (8)
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DOI: https://doi.org/10.14529/jcem170203
Abstract: The article considers the start control and the final observation of solutions to the Showalter – Sidorov problem for the mathematical model of an I-beam deformation. We construct the sufficient conditions for the existence of the start control and the final observation by weak generalized solutions of the considered model with the initial Showalter – Sidorov condition. Based on the theoretical results, we construct the algorithm of the numerical method to solve the problem of start control and final observation for the model of an I-beam deformation. The results of computational experiments are presented.
Keywords: Sobolev type equation, problem of start control and final observation, model of I-beam deformation, the Galerkin method, decomposition method.
Received: 07.06.2017
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35Q99
Language: English
Citation: N. A. Manakova, K. V. Vasiuchkova, “Numerical investigation for the start control and final observation problem in model of an I-beam deformation”, J. Comp. Eng. Math., 4:2 (2017), 26–40
Citation in format AMSBIB
\Bibitem{ManVas17}
\by N.~A.~Manakova, K.~V.~Vasiuchkova
\paper Numerical investigation for the start control and final observation problem in model of an I-beam deformation
\jour J. Comp. Eng. Math.
\yr 2017
\vol 4
\issue 2
\pages 26--40
\mathnet{http://mi.mathnet.ru/jcem88}
\crossref{https://doi.org/10.14529/jcem170203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3670938}
\elib{https://elibrary.ru/item.asp?id=29454743}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Journal of Computational and Engineering Mathematics
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