To read the full version of this content please select one of the options below:

On the Adomian decomposition method for solving the Stefan problem

Lazhar Bougoffa (Department of Mathematics, Al Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia)
Randolph Rach (The George Adomian Center for Applied Mathematics, Hartford, Michigan, United States.)
Abdul-Majid Wazwaz (Department of Mathematics, Saint Xavier University, Chicago, Illinois, United States.)
Jun-Sheng Duan (School of Sciences, Shanghai Institute of Technology, Shanghai, China.)

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