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Two methods to solve a fractional single phase moving boundary problem

  • Research Article
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Central European Journal of Physics

Abstract

A moving boundary problem of a melting problem is considered in this study. A mathematical model using the Caputo fractional derivative heat equation is proposed in the paper. Since moving boundary problems are difficult to solve for the exact solution, two methods are presented to approximate the evolution of the temperature. To simplify the computation, a similarity variable is adopted in order to reduce the partial differential equations to ordinary ones.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Jinan, 106 Jiwei Road, 250100, Jinan, P.R. China

    Xicheng Li

  2. Department of Engineering Mechanics, School of Civil Engineering, Shandong University, 17923 Jingshi Road, 250061, Jinan, P.R. China

    Shaowei Wang & Moli Zhao

Authors
  1. Xicheng Li
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  2. Shaowei Wang
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  3. Moli Zhao
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Correspondence to Xicheng Li.

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Li, X., Wang, S. & Zhao, M. Two methods to solve a fractional single phase moving boundary problem. centr.eur.j.phys. 11, 1387–1391 (2013). https://doi.org/10.2478/s11534-013-0227-z

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  • DOI: https://doi.org/10.2478/s11534-013-0227-z

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