Copyright © 2010 Adriana C. Briozzo and Domingo A. Tarzia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider one-phase nonclassical unidimensional Stefan problems for a source function F which depends on the heat flux, or the temperature on the fixed face x=0. In the first case, we assume a temperature boundary condition, and in the second case we assume a heat flux boundary condition or a convective boundary condition at the fixed face. Exact solutions of a similarity type are obtained in all cases.