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Russia Chelyabinsk
Year
2021
Volume
31
Issue
2
Pages
253-264
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Section Mathematics
Title Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod
Author(-s) Sidikova A.I.a, Sushkov A.S.b
Affiliations South Ural State Universitya, Chelyabinsk State Universityb
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
UDC 517.983.54
MSC 80A23, 35K05, 35R30
DOI 10.35634/vm210207
Received 15 September 2020
Language Russian
Citation Sidikova A.I., Sushkov A.S. Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2021, vol. 31, issue 2, pp. 253-264.
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