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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 732–742
DOI: https://doi.org/10.17377/semi.2015.12.059 (Mi semr622) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Computational mathematics

A modified Galerkin method for Vragov problem

I. E. Egorov, I. M. Tikhonova

North-Eastern Federal University, Belinsky, 58, 677891, Yakutsk, Russia
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DOI: https://doi.org/10.17377/semi.2015.12.059
Abstract: In this paper we consider Vragov problem for the equation of mixed type. We construct an approximate solution by solving a boundary value problem for the system of third-order ODE. The obtained error estimate for modified Galerkin method through the regularization parameter and the eigenvalues of the Dirichlet problem for the Laplas equation in the variables $x\in R^n$.
Keywords: equation of mixed type, approximate solution, modified Galerkin method, inequality, regularization.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 3047
Received July 17, 2015, published October 28, 2015
Document Type: Article
UDC: 517.956.6
MSC: 35M12
Language: Russian
Citation: I. E. Egorov, I. M. Tikhonova, “A modified Galerkin method for Vragov problem”, Sib. Èlektron. Mat. Izv., 12 (2015), 732–742
Citation in format AMSBIB
\Bibitem{EgoTik15}
\by I.~E.~Egorov, I.~M.~Tikhonova
\paper A modified Galerkin method for Vragov problem
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 732--742
\mathnet{http://mi.mathnet.ru/semr622}
\crossref{https://doi.org/10.17377/semi.2015.12.059}
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