Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 635231, 9 pages
Research Article

Comparative Analysis of Power-Law Fin-Type Problems Using Variational Iteration Method and Finite Element Method

Mehmet Tarık Atay1 and Safa Bozkurt Coşkun2

1Department of Mathematics, Nigde University, 51245 Nigde, Turkey
2Department of Civil Engineering, Nigde University, 51245 Nigde, Turkey

Received 22 September 2007; Revised 28 April 2008; Accepted 12 June 2008

Academic Editor: Angelo Luongo

Copyright © 2008 Mehmet Tarık Atay and Safa Bozkurt Coşkun. 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.


Variational iteration method is applied to examine the temperature distribution within a single fin with a one-dimensional steady-state nonlinear heat conduction equation. Variation of temperature due to different levels of nonlinearities is analyzed. The results obtained by means of variational iteration method are compared with the results obtained from finite element method. A fourth iteration variational iteration solution is used in all cases considered. An error analysis is also conducted to evaluate the performance of proposed solution technique. The results have shown that variational iteration method is a powerful solution technique in the analysis of power-law fin-type problems.