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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 4, Pages 936–946 (Mi zvmmf5566)  
Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics

V. A. Gasilov, T. K. Korshija, B. Ya. Lyubimov, V. F. Tishkin, A. P. Favorski, M. Yu. Shashkov

Moscow
Full-text PDF (1259 kB)
Abstract: A system of implicit difference equations of magnetohydrodynamics in a two-dimensional formulation is examined. The initial equations are linearized in such a way that a set of linear equations is obtained in increments of the node coordinates of a difference mesh. The matrix of the system is symmetric and positive definite, which enables effective methods of inversion to be used. A numerical solution of a model problem of the compression of a finite perfectly conducting plasma in a magnetic field is given as an example.
Received: 01.07.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 4, Pages 104–111
DOI: https://doi.org/10.1016/S0041-5553(83)80137-2
Bibliographic databases:
Document Type: Article
UDC: 519.6:537.84
MSC: Primary 76W05; Secondary 76X05
Language: Russian
Citation: V. A. Gasilov, T. K. Korshija, B. Ya. Lyubimov, V. F. Tishkin, A. P. Favorski, M. Yu. Shashkov, “Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983), 936–946; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 104–111
Citation in format AMSBIB
\Bibitem{GasKorLyu83}
\by V.~A.~Gasilov, T.~K.~Korshija, B.~Ya.~Lyubimov, V.~F.~Tishkin, A.~P.~Favorski, M.~Yu.~Shashkov
\paper Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 4
\pages 936--946
\mathnet{http://mi.mathnet.ru/zvmmf5566}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=717023}
\zmath{https://zbmath.org/?q=an:0554.76090}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 4
\pages 104--111
\crossref{https://doi.org/10.1016/S0041-5553(83)80137-2}
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