On the refined integral method for the one-phase Stefan problem with time-dependent boundary conditions (Q1031638)

In this paper, the Stefan problem with time-dependent temperature applied to exchange surface is considered. The approach is based on the refined integral heat balance technique. The method is applied to phase change in the half-plane and an ordinary differential equation is obtained for the solid/liquid interface. The results are compared to those obtained by integral heat balance, perturbation technique and numerical methods.