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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
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Bibliographic databases:
UDC:
517.9
MSC: 35Q99 Received: 07.06.2017
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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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http://mi.mathnet.ru/eng/jcem88 http://mi.mathnet.ru/eng/jcem/v4/i2/p26
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This publication is cited in the following articles:
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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
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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
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