Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 926086, 12 pages
doi:10.1155/2009/926086
Research Article

Adomian Decomposition Method for a Nonlinear Heat Equation with Temperature Dependent Thermal Properties

Ashfaque H. Bokhari,1 Ghulam Mohammad,2 M. T. Mustafa,1 and F. D. Zaman1

1Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
2Department of Mathematics, National College of Business Administration and Economics, Lahore, Pakistan

Received 26 December 2008; Revised 20 April 2009; Accepted 14 July 2009

Academic Editor: Saad A. Ragab

Copyright © 2009 Ashfaque H. Bokhari et al. 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.

Abstract

The solutions of nonlinear heat equation with temperature dependent diffusivity are investigated using the modified Adomian decomposition method. Analysis of the method and examples are given to show that the Adomian series solution gives an excellent approximation to the exact solution. This accuracy can be increased by increasing the number of terms in the series expansion. The Adomian solutions are presented in some situations of interest.