Document Type

Conference Proceeding

Publication Title

AIP Conference Proceedings

Publisher

American Institute of Physics

Publication Date

2012

Volume

1479

Disciplines

Computer Sciences

Abstract

Salva and Tarzia, [N.N. Salva, D.A. Tarzia, J. Math. Anal. Appl. 379 (2011) 240 - 244], gave explicit solutions of a similarity type for a class of free boundary problem for a semi-infinite material. In this paper, through an elementary approach and less stringent assumption on data, we obtain more general results than those given by their central result, and thereby construct explicit solutions for a wider class of Stefan problems with a type of variable heat flux boundary conditions. Further, explicit solutions of certain forced one-phase Stefan problems are given.

Keywords

Explicit solution, Stefan problem, differential-difference equations

DOI

10.1063/1.4756673

Rights

© 2012 American Institute of Physics

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