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Matem. Mod., 2008, Volume 20, Number 3, Pages 77–86 (Mi mm2162)  

This article is cited in 1 scientific paper (total in 1 paper)

Analytic solution of single-phase Stefan problem

È. M. Kartashov, G. S. Krotov

M. V. Lomonosov Moscow State Academy of Fine Chemical Technology

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.

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English version:
Mathematical Models and Computer Simulations, 2009, 1:2, 180–188

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Received: 09.08.2007

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
\Bibitem{KarKro08}
\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
\mathnet{http://mi.mathnet.ru/mm2162}
\mathscinet{http://www.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{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84869488523}


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    This publication is cited in the following articles:
    1. Padokhin V.A., Zueva G.A., Kokurina G.N., Kochkina N.E., Fedosov S.V., “Complex Mathematical Description of Heat and Mass Transfer in the Drying of An Infinite Cylindrical Body With Analytical Methods of Heat-Conduction Theory”, Theor. Found. Chem. Eng., 49:1 (2015), 50–60  crossref  isi  elib  scopus
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