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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 4, Pages 831–838 (Mi zvmmf4510)  
This article is cited in 1 scientific paper (total in 1 paper)

Difference solutions of a class of quasilinear parabolic equations. II

V. A. Galaktionov, A. A. Samarskii

Moscow
Full-text PDF (738 kB) Citations (1)
Abstract: The properties of implicit difference schemes for quasi-linear parabolic equations of non-linear heat conduction with a source are studied. The sufficient conditions are found for the global solvability and uniqueness of the solution of the difference problem. It is shown that the global difference solution converges by a passage to the limit to the generalized solution of the initial differential problem.
Received: 18.06.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 4, Pages 40–44
DOI: https://doi.org/10.1016/S0041-5553(83)80126-8
Bibliographic databases:
Document Type: Article
UDC: 519.633.8
MSC: Primary 65N12; Secondary 35K60
Language: Russian
Citation: V. A. Galaktionov, A. A. Samarskii, “Difference solutions of a class of quasilinear parabolic equations. II”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983), 831–838; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 40–44
Citation in format AMSBIB
\Bibitem{GalSam83}
\by V.~A.~Galaktionov, A.~A.~Samarskii
\paper Difference solutions of a class of quasilinear parabolic equations.~II
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 4
\pages 831--838
\mathnet{http://mi.mathnet.ru/zvmmf4510}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=717012}
\zmath{https://zbmath.org/?q=an:0526.65072}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 4
\pages 40--44
\crossref{https://doi.org/10.1016/S0041-5553(83)80126-8}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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