The influence of laser pulse intensity on the recession velocities of vapor-liquid and liquid-solid interfaces is examined numerically. In order to determine the location of interfaces, the energy method is used. The mushy zone formation is considered across the zones where the phase change occurs. The energy method enables one to determine the quality of vapor and liquid qualities in the vapor-liquid and liquid-solid mushy zones. It is found that laser power intensity has a significant effect on the cavity size, particularly on the depth of the cavity. The recession velocity of the vapor-liquid and liquid-solid interfaces is high in the early heating period due to high rate of evaporation.