Seyed Shojaeddin Pishnamaz Mohammadi - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
Karim Ivaz - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

A numerical technique for the solution of the one-phase Stefan problem for the non-classical heat equation with a convective condition is discussed. This approach is based on a scheme introduced in [۱۶]. The compatibility and convergence of the method is proven. Numerical examples round out the discussion.

stefan problem, non-classical heat equation, convective condition, Free boundary problem, finite difference method