Existencia de un Tiempo de Espera para un Problema de Stefan a 2 Fases, Aproximación Numérica

Abstract

We consider a slab, represented by the interval 0 0 on the left face x=0 and a temperature condition b(t) > 0 on the right face x = Xo (Xo could be also +∞, i.e., a semi-infinite material). We consider the corresponding heat conduction problem and we assume that the phase-change temperature is O°C. We make the numerical analysis of the problem through two distinctic
finite difference methods, one implicit and the other explicit
We prove that certain conditions on the data are necessary and/or sufficient in order to obtain the existence of a waiting-time at which a phase.change begins in the discrete problem.