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Exact Solutions for Nonclassical Stefan Problems

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  • Adriana C. Briozzo
  • Domingo A. Tarzia

Abstract

We consider one-phase nonclassical unidimensional Stefan problems for a source function which depends on the heat flux, or the temperature on the fixed face . In the first case, we assume a temperature boundary condition, and in the second case we assume a heat flux boundary condition or a convective boundary condition at the fixed face. Exact solutions of a similarity type are obtained in all cases.

Suggested Citation

  • Adriana C. Briozzo & Domingo A. Tarzia, 2010. "Exact Solutions for Nonclassical Stefan Problems," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-19, September.
    • Handle: RePEc:hin:jnijde:868059
    DOI: 10.1155/2010/868059
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