Abstract
The computational algorithm and the results are given for the solution of the inverse problem of determining the total set of coefficients of the inhomogeneous quasilinear heat-conduction equation.
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O. M. Alifanov, Identification of Heat-Transfer Processes in Aircraft. Introduction to the Theory of Inverse Heat-Transfer Problems [in Russian], Moscow (1979).
A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Incorrect Problems [in Russian], Moscow (1974).
O. M. Alifanov and S. V. Rumyantsev, Dokl. Akad. Nauk SSSR,248. No. 6, 1289–1291 (1979).
O. M. Alifanov and S. V. Rumyantsev, Inzh.-Fiz. Zh.,39, No. 2, 253–258 (1980).
E. A. Artyukhin, Inzh.-Fiz. Zh.,29, No. 1, 87–90 (1975).
E. A. Artyukhin, Teplofiz. Vys. Temp.,19, No. 5, 963–967 (1981).
A. A. Goryachev and V. M. Yudin, Inzh.-Fiz. Zh.,43, No. 4, 641–648 (1982).
N. I. Nikitenko, Theory of Heat Transfer [in Russian], Kiev (1983).
N. V. Muzylev, Zh. Vychisl. Mat. Mat. Fiz.,20, No. 2, 388–400 (1980).
M. V. Klibanov, Inzh.-Fiz. Zh.,49, No. 6, 1006–1009 (1985).
E. A. Artyukhin and S. V. Rumyantsev, Inzh.-Fiz. Zh.,39, No. 2, 264–269 (1980).
D. K. Faddeev and V. N. Faddeeva, Computational Methods of Linear Algebra [in Russian], Moscow-Leningrad (1963).
A. A. Samarskii, Theory of Difference Schemes [in Russian], Moscow (1977).
S. B. Stechkin and Yu. N. Subbotin, Splines in Computational Mathematics [in Russian], Moscow (1976).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 53, No. 3, pp. 474–480, September, 1987.
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Artyukhin, E.A., Nenarokomov, A.V. Coefficient inverse heat-conduction problem. Journal of Engineering Physics 53, 1085–1090 (1987). https://doi.org/10.1007/BF00873834
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DOI: https://doi.org/10.1007/BF00873834