Analytical and Numerical Study to Nonlinear Heat Transfer Equation in Strait Fin | OMICS International | Abstract
ISSN: 2576-1463

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Research Article

Analytical and Numerical Study to Nonlinear Heat Transfer Equation in Strait Fin

Akbari N1, Ganji DD2*, Gholinia M3 and Gholinia S2

1Shahid Sattari Aeronautical University of Science and Technology, Tehran, Iran

2Department of Mechanical Engineering, Babol University of Technology, Babol, Iran

3Department of Mechanical Engineering, Science and Technology University, Babol, Iran

Corresponding Author:
Ganji DD
Department of Mechanical Engineering
Babol University of Technology, P.O. Box 484, Babol, Iran
Tel: +98 111 32 34 501
E-mail: [email protected]

Received Date: October 22, 2016; Accepted Date: December 07, 2016; Published Date: December 13, 2016

Citation: Akbari N, Ganji DD, Gholinia M, Gholinia S (2016) Analytical and Numerical Study to Nonlinear Heat Transfer Equation in Strait Fin. Innov Ener Res 5:148.

Copyright: © 2016 Akbari N, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.


Akbari-Ganji’s Method (AGM) to study an unsteady nonlinear convective-radiative equation and a nonlinear convective-radiative-conduction equation containing two small parameters of ε1 and ε2 and evaluate the efficiency of straight fins. The concept of Akbari-Ganji’s Method is briefly introduced and employed to derive solution of nonlinear equation. The obtained results from AGM are compared with those of obtained from Homotopy Perturbation Method (HPM), the fourth-order Runge-Kutta Numerical Method (NUM) and FlexPDE software to verify the accuracy of the proposed method. Results show by increasing N efficiency decline. In contrast to, with increasing of ε1, ε2 the value of efficiency increases. In addition to, this study shows that AGM is powerful method to solve nonlinear differential equations, such as the problem raised in this research.