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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2011 Volume 12, Issue 2, Pages 238–246 (Mi vmp191)

This article is cited in 1 paper

Вычислительные методы и приложения

On a numerical method for solving one-dimensional Stefan-type problems

N. A. Okulov

Russian State Social University, Naro-Fominsk Branch

Abstract: A finite-difference method for solving one-dimensional one- and two-phase Stefan-type problems with multiple phase boundaries is proposed. The essence of the method is that the problem under study is solved step by step when moving from one time layer to another. The time step value, the spatial grid of the time layer, the corresponding nodal values of temperature, and the position of interphase boundaries are simultaneously determined at each step.

Keywords: Stefan problem; difference scheme; numerical methods; interphase boundaries.

UDC: 519.633:517.958



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