On the Adomian decomposition method for solving the Stefan problem
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 5 May 2015
Abstract
Purpose
The purpose of this paper is concerned with a reliable treatment of the classical Stephan problem. The Adomian decomposition method (ADM) is used to carry out the analysis, Moreover, the authors extend the work to examine the Stefan problem with variable latent heat. The study confirms the accuracy and efficiency of the employed method.
Design/methodology/approach
The new technique, as presented in this paper in extending the applicability of the ADM, has been shown to be very efficient for solving the Stefan problem.
Findings
The Stefan problem with variable latent heat was examined as well. The ADM was effectively used for analytic treatment of the Stefan problem with and without variable latent heat.
Originality/value
The paper presents a new solution algorithm for the Stefan problem.
Keywords
Citation
Bougoffa, L., Rach, R., Wazwaz, A.-M. and Duan, J.-S. (2015), "On the Adomian decomposition method for solving the Stefan problem", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 No. 4, pp. 912-928. https://doi.org/10.1108/HFF-05-2014-0159
Publisher
:Emerald Group Publishing Limited
Copyright © 2015, Emerald Group Publishing Limited