E. V. Tabarintseva, “About solving of an ill-posed problem for a nonlinear differential equation by means of the projection regularization method”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:2 (2013), 65

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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"

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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2013, Volume 5, Issue 2, Pages 65–71 (Mi vyurm77)

Mathematics

About solving of an ill-posed problem for a nonlinear differential equation by means of the projection regularization method

E. V. Tabarintseva

South Ural State University

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Abstract: 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.

Received: 15.02.2013

Document Type: Article

UDC: 517.948

Language: Russian

Citation: E. V. Tabarintseva, “About solving of an ill-posed problem for a nonlinear differential equation by means of the projection regularization method”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:2 (2013), 65–71

Citation in format AMSBIB

\Bibitem{Tab13}

\by E.~V.~Tabarintseva

\paper About solving of an ill-posed problem for a nonlinear differential equation by means of the projection regularization method

\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.

\yr 2013

\vol 5

\issue 2

\pages 65--71

\mathnet{http://mi.mathnet.ru/vyurm77}

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https://www.mathnet.ru/eng/vyurm/v5/i2/p65

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Full-text PDF :	82
References:	43

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