Abstract
A finite-difference search method is described for determining the temperature and heat flux on one boundary of the body if the temperature and heat flux on the other boundary are known. The results of numerical experiments, which show that the method has proved to be efficient, are discussed.
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O. M. Alifanov, Inzh.-Fiz. Zh.,29, No. 1 (1975).
A. G. Temkin, Inverse Methods of Heat Conduction [in Russian], Énergiya, Moscow (1973).
L. A. Kozdoba, Inzh.-Fiz. Zh.,27, No. 6 (1975).
J. V. Beck, ASME Paper NHT-46 (1962).
J. V. Beck and H. Wolf, ASME Paper NHT-40 (1965).
Frank, Teploperedacha, No. 4 (1963).
R. Kh. Mullakhmetov and E. A. Khori, in: Hydrodynamics [in Russian], No. 5, Khar'kov. Gos. Univ., Khar'kov (1967).
E. M. Berkovich, B. M. Budak, and A. A. Golubeva, “Approximate methods of solving problems of optimal control and some incorrect inverse problems,” in: Proceedings of the Computation Center of Moscow State University [in Russian] (1971).
O. M. Alifanov, Inzh.-Fiz. Zh.,26, No. 4 (1974).
A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 32, No. 3, pp. 502–507, March, 1977.
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Nikitenko, N.I. A finite-difference method for solving inverse boundary-value problems of heat conduction. Journal of Engineering Physics 32, 315–318 (1977). https://doi.org/10.1007/BF00865794
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DOI: https://doi.org/10.1007/BF00865794