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Matematicheskoe modelirovanie, 2008, Volume 20, Number 3, Pages 77–86 (Mi mm2162)  
This article is cited in 6 scientific papers (total in 6 papers)

Analytic solution of single-phase Stefan problem

È. M. Kartashov, G. S. Krotov

M. V. Lomonosov Moscow State Academy of Fine Chemical Technology
Full-text PDF (303 kB) Citations (6)
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Abstract: Authors found analytic solutions of Stefan problem with different boundary conditions on $x=0$ surface by means of the method of differential rows and the method of general integral transformation. They showed the equivalence of these solutions in a confluent domain, i.e. $y(0)=0$. Authors considered a few particular cases of general solutions in dimensionless variables and drew their graphs. Authors found coefficients of proportionality in the law of moving of a boundary in the tenth decimal place.
Received: 09.08.2007
English version:
Mathematical Models and Computer Simulations, 2009, Volume 1, Issue 2, Pages 180–188
DOI: https://doi.org/10.1134/S2070048209020021
Bibliographic databases:
Language: Russian
Citation: È. M. Kartashov, G. S. Krotov, “Analytic solution of single-phase Stefan problem”, Matem. Mod., 20:3 (2008), 77–86; Math. Models Comput. Simul., 1:2 (2009), 180–188
Citation in format AMSBIB
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\by \`E.~M.~Kartashov, G.~S.~Krotov
\paper Analytic solution of single-phase Stefan problem
\jour Matem. Mod.
\yr 2008
\vol 20
\issue 3
\pages 77--86
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2423519}
\zmath{https://zbmath.org/?q=an:1150.80308}
\transl
\jour Math. Models Comput. Simul.
\yr 2009
\vol 1
\issue 2
\pages 180--188
\crossref{https://doi.org/10.1134/S2070048209020021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84869488523}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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