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

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 pape...

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Veröffentlicht in:Vestnik Udmurtskogo universiteta. Matematika, mekhanika, kompʹi͡u︡ternye nauki mekhanika, kompʹi͡u︡ternye nauki, 2021-06, Vol.31 (2), p.253-264
Hauptverfasser: Sidikova, A.I., Sushkov, A.S.
Format: Artikel
Sprache:eng ; rus
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Zusammenfassung: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.
ISSN:1994-9197
2076-5959
DOI:10.35634/vm210207