Evolution of the interface for an extended melting model

This paper deals with simulations of a phase-change problem related to an extended heat conduction problem. ʹUnder physically reasonable hypotheses, effects of several values of the relaxation times are considered and the evolution of the moving interface is discussed. Moreover, a contribution to the analysis of the singular perturbation problem that arises when the small parameters that characterize the model tend to zero, is given by means of numerical mathematics.