文章基本信息

标题：An Analytic Solution to a Parameterized Problems Arising in Heat Transfer Equations by Optimal Homotopy Analysis Method
作者：HASSAN, Hany Nasr ; SEMARY, Mourad Samir
期刊名称：Walailak Journal of Science and Technology (WJST)
印刷版ISSN：2228-835X
出版年度：2014
卷号：11
期号：8
页码：659-677
DOI：10.2004/wjst.v11i8.490
语种：English
出版社：Institute of Research and Development, Walailak University.
摘要：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 solutions. The square residual error is obtained to verify the accuracy of the presented method.
关键词：Physical sciences, Engineering, Applied mathematics;Optimal homotopy analysis method, Series solutions, Heat transfer,Fin efficiency,The square residual error , Two-boundary value problem,Convergence-controller parameter