Geodesic
Analytic solution of single-phase Stefan problem
Matematičeskoe modelirovanie, Tome 20 (2008) no. 3, pp. 77-86

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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. 
@article{MM_2008_20_3_a6,
     author = {\`E. M. Kartashov and G. S. Krotov},
     title = {Analytic solution of single-phase {Stefan} problem},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {77--86},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_3_a6/}
}
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È. M. Kartashov; G. S. Krotov. Analytic solution of single-phase Stefan problem. Matematičeskoe modelirovanie, Tome 20 (2008) no. 3, pp. 77-86. http://geodesic.mathdoc.fr/item/MM_2008_20_3_a6/