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An Analytic Solution to a Parameterized Problems Arising in Heat Transfer Equations by Optimal Homotopy Analysis Method

Walailak Journal of Science and Technology (WJST) • 2013
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Publication Information
Authors H.N. HASSAN, M.S. SEMARY
Keywords Not Available
Journal Walailak Journal of Science and Technology (WJST)
Publisher Not Available
Volume 11
Issue 8
Pages 659-677
publication.type International
Paper Link Not Available
Supplementary Materials Not Available
Abstract
In this paper, an accurate approximate solutions for 2 problems arising in heat
transfer straight fins are presented using optimal homotopy analysis method (OHAM). The
approximated solutions are obtained at different values of parameters for the 2 problems are
illustrated, and the fin efficiency is also evaluated. Moreover, the 2 problems are of nonlinear
convective-radiative conduction and power-law fin-type. The obtained series solutions of
OHAM are compared with the numerical solution (using Mathematica solver) and exact