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Abstract
A simple finite-difference method was developed for solid-liquid phase-change problems. The present method is based on a fixed grid and implicit in time. A fictitious temperature concept is introduced to derive finite-difference equations to deal with the nodal points across the solid-liquid interface. The algorithm is applied to a one-dimensional Stefan problem for which exact solutions are available. The computational results are found to be in excellent agreement with the exact solutions. Further, the present method yields no oscillations of temperature and phase front, which are commonly observed with the typical enthalpy method.