Table of Contents
ISRN Applied Mathematics
Volume 2011, Article ID 549061, 13 pages
Research Article

Logistic Heat Integral Methods for the One-Phase Stefan Problem

1Center for Research in Computational and Applied Mechanics, University of Cape Town, Rondebosch 7701, South Africa
2Department of Physics, Obafemi Awolowo University, Ile-Ife 220005, Nigeria

Received 31 March 2011; Accepted 21 May 2011

Academic Editors: A. Baïri and F. Ding

Copyright © 2011 O. P. Layeni and A. M. Adegoke. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Logistic versions of the heat balance integral and refined integral methods are introduced. A benchmark with a one-phase Stefan problem under constant and time-dependent boundary conditions shows remarkable accuracy at estimating temperature distribution and position of the moving front.