Abstract
An algorithm is developed for the numerical solution of the Stefan problem for boundary conditions of the first, second, and third kinds, respectively, on the surface of a freezing (thawing) layer by using the solution of the heat conduction equation in the form of a series in the spatial coordinate including two derivatives of the time functions and their derivatives. An approximate estimation of the proposed method is given in an example of computing the freezing of water in a reservoir.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 60, No. 1, pp. 145–150, January, 1991.
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Mukhetdinov, N.A. Numerical-analytic algorithm of the Stefan problem solution. Journal of Engineering Physics 60, 124–129 (1991). https://doi.org/10.1007/BF00871626
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DOI: https://doi.org/10.1007/BF00871626