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Quasi-stationary Stefan problem and computer simulation of interface dynamics

R. Andrushkiw·V. Gafiychuk·R. Zabrodsky
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Abstract

The computer simulation of quasistationary Stefan problem has been realized. Different representations of the Laplacian growth model are considered. The main attention has been paid for the interface dynamics represented by integro differential equations. Numerical approach has been realized by use of interpolating polynomials and exact quadrature formulae. As a result system of ordinary differential equations has been simulated.

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R. Andrushkiw, V. Gafiychuk, R. Zabrodsky. 2002-02-19. Quasi-stationary Stefan problem and computer simulation of interface dynamics. https://arxiv.org/abs/nlin/0202020

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