Abstract
The authors present a method of reducing inverse problems of recovery of boundary heat fluxes by means of data of integral or differential temperature measurements on the boundary to direct initial/boundary-value problems.
Similar content being viewed by others
References
V. T. Borukhov, Inzh.-Fiz. Zh., 47, No. 3, 465–474 (1984).
V. T. Borukhov, Avtomat. Telemekh., No. 5, 28–36 (1982).
V. T. Borukhov and P. N. Vabishchevich, Mat. Modelir., 10, No. 11, 93–100 (1998).
A. A. Samarskii, Differents. Uravn., 16, No. 11, 1925–1935 (1980).
A. N. Tikhonov, Mat. Sb., 26(86), No. 1, 35–56 (1950).
W. Feller, Ann. Math., 55, 468–519 (1952).
A. D. Venttsel’, Teoriya Veroyatnostei Ee Primeneniya, 4, No. 2, 172–195 (1959).
O. M. Alifanov, Identification of Heat-Transfer Processes of Aircraft [in Russian], Moscow (1979).
N. I. Ionkin, Differents. Uravn., 13, No. 2, 294–304 (1977).
Author information
Authors and Affiliations
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 73, No. 4, pp. 744–747, July–August, 2000.
Rights and permissions
About this article
Cite this article
Borukhov, V.T., Vabishchevich, P.N. & Korzyuk, V.I. Reduction of a class of inverse heat-conduction problems to direct initial/boundary-value problems. J Eng Phys Thermophys 73, 730–734 (2000). https://doi.org/10.1007/s10891-000-0082-9
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10891-000-0082-9