Open AccessNumerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod
Author(s) -
А. И. Сидикова,
A.S. Sushkov
Publication year - 2021
Publication title -
vestnik udmurtskogo universiteta. matematika, mehanika, kompʹûternye nauki
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 8
eISSN - 2076-5959
pISSN - 1994-9197
DOI - 10.35634/vm210207
Subject(s) - inverse problem , regularization (linguistics) , inverse , boundary value problem , mathematics , projection (relational algebra) , heat transfer , mathematical analysis , computer science , algorithm , mechanics , physics , geometry , artificial intelligence
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.