Quasi-stationary Stefan problem and computer simulation of interface dynamics

Details Quasi-stationary Stefan problem and computer simulation of interface dynamics Quasi-stationary Stefan problem and computer simulation of interface dynamics

2002-02-08

arxiv.org/abs/nlin/0202020v2

Nonlinear Sciences

Adaptation and Self-Organizing Systems

13 pages, 9 figures

Scientific paper

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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