Abstract
The solution of Stefan problems has been a subject of intense interest for years. Yet, there is still a lack of accurate methods for the solution of problems imposed with time-variant conditions. In fact, there has been an unsettled issue on the functional dependency of the interface position with time. It is thus the purpose of this paper to address this issue. In addition, the paper is offered to develop a unified approach for the solution of one- and two-phase melting or solidification problems in a semi-infinite domain imposed with constant or time-variant temperature or flux conditions.
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