Exact Solutions for Nonclassical Stefan Problems | Zendy

Adriana C. Briozzo | Zendy; Domingo A. Tarzia | Zendy

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Exact Solutions for Nonclassical Stefan Problems

Author(s) -

Adriana C. Briozzo,

Domingo A. Tarzia

Publication year - 2010

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2010/868059

Subject(s) - stefan problem , mathematics , boundary (topology) , boundary value problem , similarity solution , mathematical analysis , function (biology) , convection , similarity (geometry) , face (sociological concept) , heat flux , boundary problem , heat transfer , physics , thermodynamics , boundary layer , evolutionary biology , artificial intelligence , biology , computer science , image (mathematics) , social science , sociology

We consider one-phase nonclassical unidimensional Stefan problems for a source function F which depends on the heat flux, or the temperature on the fixed face x=0. 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

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