@inproceedings{b7d0a00e542d423193b4efebe0fd6f56,

title = "Some explicit solutions for a class of one-phase Stefan problems",

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",

author = "Layeni, {Olawanle P.} and Johnson, {Jesse V.}",

year = "2012",

doi = "10.1063/1.4756673",

language = "English",

isbn = "9780735410916",

series = "AIP Conference Proceedings",

number = "1",

pages = "2379--2382",

booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics",

edition = "1",

note = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 ; Conference date: 19-09-2012 Through 25-09-2012",

}