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Matematicheskoe modelirovanie, 2002, Volume 14, Number 11, Pages 10–22 (Mi mm523)  
This article is cited in 8 scientific papers (total in 8 papers)

Numerical solution of boundary value problems in unlimited area

E. A. Alshina, N. N. Kalitkin, S. L. Panchenko

Institute for Mathematical Modelling, Russian Academy of Sciences
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Abstract: The new approach to solution of boundary value problems in unlimited area is developed. The use of quasi-uniform grids allows solving such problems, stating a boundary condition directly on infinity. Various variants of quasiequidistant grids are constructed and their properties are investigated. Difference schemes ensuring consistency on a grid with infinite interval are developed. The offered approach is successfully tested on a heat conduction problem in semi-infinite area and for evaluation of linear differential operators spectra.
Received: 02.08.2001
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Language: Russian
Citation: E. A. Alshina, N. N. Kalitkin, S. L. Panchenko, “Numerical solution of boundary value problems in unlimited area”, Mat. Model., 14:11 (2002), 10–22
Citation in format AMSBIB
\Bibitem{AlsKalPan02}
\by E.~A.~Alshina, N.~N.~Kalitkin, S.~L.~Panchenko
\paper Numerical solution of boundary value problems in unlimited area
\jour Mat. Model.
\yr 2002
\vol 14
\issue 11
\pages 10--22
\mathnet{http://mi.mathnet.ru/mm523}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1989789}
\zmath{https://zbmath.org/?q=an:1019.35006}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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