Numerical solution of the one phase 1D fractional Stefan problem using the front fixing method

摘要

In this paper, we present a novel numerical scheme to solve a 1D, one-phase extended Stefan problem with fractional Caputo derivative with respect to time. The proposed method is based on a suitable choice of the new space coordinate for the subdiffusion equation and extends the front-fixingmethod to the subdiffusion case. In the final part, examples of numerical results are discussed. Copyright (C) 2014 John Wiley & Sons, Ltd.