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Chebyshevskii Sbornik, 2017, Volume 18, Issue 3, Pages 306–317
DOI: https://doi.org/10.22405/2226-8383-2017-18-3-306-317 (Mi cheb581) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Implicit finite difference scheme for barotropic gas equations

G. M. Kobel'kov, A. G. Sokolov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.22405/2226-8383-2017-18-3-306-317
Abstract: An implicit finite difference scheme approximated barotropic gas equations is proposed. This scheme ensures positivity of density compared to previous methods. Existence of a solution to this scheme is proved for any time and space mesh-steps, an iterative method for solving the system of nonlinear equations on each time step is proposed.
Keywords: difference scheme, iterative process, flow of an ideal (viscous) barotropic gas.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Foundation for Basic Research 17-01-00838_а
Received: 22.05.2017
Revised: 14.09.2017
Document Type: Article
UDC: 519.6
Language: Russian
Citation: G. M. Kobel'kov, A. G. Sokolov, “Implicit finite difference scheme for barotropic gas equations”, Chebyshevskii Sb., 18:3 (2017), 306–317
Citation in format AMSBIB
\Bibitem{KobSok17}
\by G.~M.~Kobel'kov, A.~G.~Sokolov
\paper Implicit finite difference scheme for barotropic gas equations
\jour Chebyshevskii Sb.
\yr 2017
\vol 18
\issue 3
\pages 306--317
\mathnet{http://mi.mathnet.ru/cheb581}
\crossref{https://doi.org/10.22405/2226-8383-2017-18-3-306-317}
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