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Numerical scheme for the one-phase 1D Stefan problem using curvilinear coordinates

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In this paper we present a new approach to solving a one-dimensional, one-phase Stefan problem. The proposed method is based on choosing (a) suitable curvilinear space coordinate/s for the heat-flow equation and the finite difference method. In the final part of this paper, examples of numerical calculations are shown.
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  • [11] Liu Junyi, Xu Mingyu, An exact solution to the moving boundary problem with fractional anomalous diffusion in drug release devices, Z. Angew. Math. Mech. (ZAMM) 2004, 84, 22-28.
  • [12] Liu Junyi, Xu Mingyu, Some exact solutions to Stefan problems with fractional differential equations, J. Math. Anal. Appl. 2009, 351, 536-542.
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  • [14] Voller V., An exact solution of a limit case Stefan problem governed by a fractional diffusion equation, Int. J. Heat Mass Transfer 2010, 53, 5622-5625.
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bwmeta1.element.baztech-article-BPC6-0023-0002
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