About solving of an ill-posed problem for a nonlinear differential equation by means of the projection regularization method
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 65-71
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A retrospective inverse problem for a semi-linear differential equation is studied. The projection regularization method with the choice of the regularization parameter by means of M. M. Lavrentiev scheme is used to find a stable approximate solution to the ill-posed problem under consideration. An explicit evaluation of inaccuracy of this method was measured on one of the cases of robustness.
Keywords:
inverse problem; nonlinear differential equation; approximate method; evaluation of inaccuracy.
@article{VYURM_2013_5_2_a8,
author = {E. V. Tabarintseva},
title = {About solving of an ill-posed problem for a nonlinear differential equation by means of the projection regularization method},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {65--71},
publisher = {mathdoc},
volume = {5},
number = {2},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a8/}
}
TY - JOUR AU - E. V. Tabarintseva TI - About solving of an ill-posed problem for a nonlinear differential equation by means of the projection regularization method JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2013 SP - 65 EP - 71 VL - 5 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a8/ LA - ru ID - VYURM_2013_5_2_a8 ER -
%0 Journal Article %A E. V. Tabarintseva %T About solving of an ill-posed problem for a nonlinear differential equation by means of the projection regularization method %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2013 %P 65-71 %V 5 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a8/ %G ru %F VYURM_2013_5_2_a8
E. V. Tabarintseva. About solving of an ill-posed problem for a nonlinear differential equation by means of the projection regularization method. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 65-71. http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a8/