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

Voir la notice de l'article provenant de la source Math-Net.Ru

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
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/
@article{VYURM_2014_6_2_a0,
     author = {V. F. Mirasov and A. I. Sidikova},
     title = {Approximate solution of inverse boundary problem for the heat exchange by {A.} {N.~Tikhonov{\textquoteright}s} regularization method},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {5--11},
     year = {2014},
     volume = {6},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2014_6_2_a0/}
}
TY  - JOUR
AU  - V. F. Mirasov
AU  - A. I. Sidikova
TI  - Approximate solution of inverse boundary problem for the heat exchange by A. N. Tikhonov’s regularization method
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika
PY  - 2014
SP  - 5
EP  - 11
VL  - 6
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VYURM_2014_6_2_a0/
LA  - ru
ID  - VYURM_2014_6_2_a0
ER  - 
%0 Journal Article
%A V. F. Mirasov
%A A. I. Sidikova
%T Approximate solution of inverse boundary problem for the heat exchange by A. N. Tikhonov’s regularization method
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika
%D 2014
%P 5-11
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/VYURM_2014_6_2_a0/
%G ru
%F 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.)