We consider one-phase nonclassical unidimensional Stefan problems for a source function which depends on the heat flux, or the temperature on the fixed face . 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.
"Exact Solutions for Nonclassical Stefan Problems." Int. J. Differ. Equ. 2010 1 - 19, 2010. https://doi.org/10.1155/2010/868059