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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 5, Pages 680–696 (Mi zvmmf3262)  
This article is cited in 4 scientific papers (total in 4 papers)

Numerical solution of some quasilinear singularly perturbed heat-conduction equations on nonuniform grids

I. P. Boglaev, V. V. Sirotkin

Moscow
Full-text PDF (1541 kB) Citations (4)
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Abstract: Numerical methods of solving quasilinear heat-conduction equations with a small parameter for the highest-order derivatives with respect to the spatial variables are considered. Nonlinear difference schemes are constructed by the exact difference scheme method. The proposed schemes are uniformly convergent in the small parameter on arbitrary nonuniform grids. Iterative algorithms uniformly convergent in the small parameter are chosen for solving the nonlinear difference schemes.
Received: 24.10.1988
Revised: 06.06.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 3, Pages 28–40
DOI: https://doi.org/10.1016/0041-5553(90)90187-W
Bibliographic databases:
Document Type: Article
UDC: 519.633
MSC: Primary 65M20; Secondary 65L12, 65L10, 65M15, 35K60
Language: Russian
Citation: I. P. Boglaev, V. V. Sirotkin, “Numerical solution of some quasilinear singularly perturbed heat-conduction equations on nonuniform grids”, Zh. Vychisl. Mat. Mat. Fiz., 30:5 (1990), 680–696; U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 28–40
Citation in format AMSBIB
\Bibitem{BogSir90}
\by I.~P.~Boglaev, V.~V.~Sirotkin
\paper Numerical solution of some quasilinear singularly perturbed heat-conduction equations on nonuniform grids
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 5
\pages 680--696
\mathnet{http://mi.mathnet.ru/zvmmf3262}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1058616}
\zmath{https://zbmath.org/?q=an:0704.65069}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 3
\pages 28--40
\crossref{https://doi.org/10.1016/0041-5553(90)90187-W}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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