Approximate solution of inverse boundary problem for the heat exchange by A. N. Tikhonov’s regularization method
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 2, pp. 5-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article shows approximate solution of the heat exchange problem by A. N. Tikhonov’s regularization method and the error estimate of approximate solution is given.
Keywords: operator equation, regularity, optimal method, ill-posed problem.
Mots-clés : error estimation
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V. F. Mirasov; A. I. Sidikova. Approximate solution of inverse boundary problem for the heat exchange by A. N. Tikhonov’s regularization method. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 2, pp. 5-11. http://geodesic.mathdoc.fr/item/VYURM_2014_6_2_a0/

[1] Alifanov O. M., Artyukhin E. A., Rumyantsev S. V., Extreme methods of ill-posed problems solution, Nauka Publ., M., 1988, 287 pp. (in Russ.) | MR | Zbl

[2] Tikhonov A. N., DAN SSSR, 153:1 (1963), 49–52 (in Russ.) | MR | Zbl

[3] Tikhonov A. N., Samarskiy A. A., Equations of mathematical physics, Nauka Publ., M., 1966, 725 pp. (in Russ.) | MR | Zbl

[4] Morozov V. A., Zhurnal vychislitel'noy matematiki i matematicheskoy fiziki, 6:1 (1966), 170–175 (in Russ.) | MR

[5] Tanana V. P., DAN SSSR, 220:5 (1975), 1035–1037 (in Russ.) | MR | Zbl

[6] Tanana V. P., Sidikova A. I., Optimal methods of ill-posed problems solution, YuUrGU Publ., Chelyabinsk, 2012, 162 pp. (in Russ.)