AIP Conference Proceedings
American Institute of Physics
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.
Explicit solution, Stefan problem, differential-difference equations
© 2012 American Institute of Physics
Layeni, Olawanle P. and Johnson, Jesse V., "Some Explicit Solutions for a Class of One-Phase Stefan Problems" (2012). Computer Science Faculty Publications. 23.