Technical Brief

Optimal Perturbation Iteration Method for solving Nonlinear Heat Transfer Equations

[+] Author and Article Information
Sinan Deniz

Department of Mathematics, Faculty of Art and Sciences, Manisa Celal Bayar University, 45140 Manisa, Turkey

1Corresponding author.

ASME doi:10.1115/1.4036085 History: Received May 16, 2016; Revised February 21, 2017


In this paper, the new optimal perturbation iteration method is introduced and applied for solving nonlinear differential equations arising in heat transfer. The effectiveness of the proposed method will be tested by considering two specific applications:the temperature distribution equation in a thick rectangular fin radiation to free space and cooling of a lumped system with variable specific heat. Comparing different methods shows that the results obtained by optimal perturbation iteration method are very good agreement with the numerical solutions and performs better than the most existing analytic methods.

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