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Abstract Due to its important applications, Stefan problems have been studied during recent years both from theoretical and numerical view points. Various numerical methods have been developed to solve Stefan and inverse Stefan problems. These methods need to be efficiently solving the heat equation on irregular domains and keep track of a moving interface that may undergo complex topological changes. In this work a comprehensive survey on the numerical techniques of solution of Stefan-like problems (Stefan and inverse Stefan problems) are considered. A series of numerical experiments were conducted to give a clear overview of our study. Moreover, analysis of numeric representation the temperature distribution by the enthalpy method is presented, followed by a computational example |