Prediction of a Semi-Exact Analytic Solution of a Convective Porous Fin with Variable Cross Section by Different Methods

Majid SHAHBABAEI; Davood Domayri GANJI; Iman RAHIMIPETROUDI

Authors

Majid SHAHBABAEI Department of Mechanical Engineering, Shirgah Branch, Azad University, Shirgah
Davood Domayri GANJI Department of Mechanical Engineering, Babol University of Technology, Babol
Iman RAHIMIPETROUDI Young Researchers Club, Sari Branch, Islamic Azad University, Sari

Keywords:

Porous fin, variable cross section, Collocation Method, Homotopy Perturbation Method, Variation Iteration Method

Abstract

In the present study, the problem of nonlinear equations arising in a convective porous fin with a variable cross section is investigated using a Collocation Method (CM). The obtained results from this method are compared with the Homotopy Perturbation Method (HPM), Variation Iteration Method (VIM), and those from a numerical solution, namely the Boundary Value Problem method (BVP), to verify the accuracy of the proposed method. It is found that the CM can achieve suitable results in predicting the solutions of such problems.

doi:10.14456/WJST.2015.48

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