Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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