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J. Comp. Eng. Math., 2017, Volume 4, Issue 2, Pages 26–40 (Mi jcem88)  

This article is cited in 2 scientific papers (total in 2 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)

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.

DOI: https://doi.org/10.14529/jcem170203

Full text: PDF file (1395 kB)
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Bibliographic databases:

UDC: 517.9
MSC: 35Q99
Received: 07.06.2017
Language:

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://www.ams.org/mathscinet-getitem?mr=3670938}
\elib{http://elibrary.ru/item.asp?id=29454743}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. O. V. Gavrilova, “Zadacha startovogo upravleniya i finalnogo nablyudeniya dlya sistemy uravnenii Fitts Khyu–Nagumo s usloviem Dirikhle–Shouoltera–Sidorova”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 10:3 (2018), 12–18  mathnet  crossref  elib
    2. M. A. Sagadeeva, A. V. Generalov, “Numerical solution for non-stationary linearized Hoff equation defined on geometrical graph”, J. Comp. Eng. Math., 5:3 (2018), 61–74  mathnet  crossref  elib
  • Journal of Computational and Engineering Mathematics
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