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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2021, Volume 31, Issue 2, Pages 253–264
DOI: https://doi.org/10.35634/vm210207 (Mi vuu768) 		 
MATHEMATICS

Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod

A. I. Sidikovaa, A. S. Sushkovb

a South Ural State University, pr. Lenina, 76, Chelyabinsk, 454080, Russia
b Chelyabinsk State University, ul. Brat'ev Kashirinykh, 129, Chelyabinsk, 454001, Russia
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DOI: https://doi.org/10.35634/vm210207
Abstract: The article is devoted to solving an inverse boundary value problem for a rod consisting of composite materials. In the inverse problem, it is required, using information about the temperature of the heat flow in the media section, to determine the temperature at one of the ends of the rod. The paper presents a method of projection regularization, which made it possible to approximately estimate the error of the obtained solution to the inverse problem. To check the computational efficiency of this method, test calculations were carried out.
Keywords: error estimation, modulus of conditional correctness, Fourier series transformation, ill-posed problem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FENU-2020-0022
The work was supported by the Ministry of Science and Higher Education of the Russian Federation (government order FENU-2020-0022).
Received: 15.09.2020
Bibliographic databases:
Document Type: Article
UDC: 517.983.54
MSC: 80A23, 35K05, 35R30
Language: Russian
Citation: A. I. Sidikova, A. S. Sushkov, “Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:2 (2021), 253–264
Citation in format AMSBIB
\Bibitem{SidSus21}
\by A.~I.~Sidikova, A.~S.~Sushkov
\paper Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2021
\vol 31
\issue 2
\pages 253--264
\mathnet{http://mi.mathnet.ru/vuu768}
\crossref{https://doi.org/10.35634/vm210207}
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