Application of Optimal Homotopy Asymptotic Method for solving nonlinear equations arising in heat transfer

被引：317

作者：

Marinca, Vasile ^{[1
]}

Herisanu, Nicolae ^{[1
]}

机构：

[1] Politehn Univ Timisoara, Dept Mech & Vibrat, Timisoara 300222, Romania

来源：

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER | 2008年 / 35卷 / 06期

关键词：

Optimal Homotopy Asymptotic Method (OHAM); fin radiation; heat transfer;

D O I：

10.1016/j.icheatmasstransfer.2008.02.010

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

We consider one of the newest analytical methods, the Optimal Homotopy Asymptotic Method (OHAM), to solve nonlinear equations arising in heat transfer. Two specific applications are considered: cooling of a lumped system with variable specific heat and the temperature distribution equation in a thick rectangular fin radiation to free space. Results obtained by OHAM, which does not need small parameters are compared with numerical results and a very good agreement was found. This method provides us with a convenient way to control the convergence of approximation series and adjust convergence regions when necessary. The results reveal that the proposed method is explicit, effective and easy to use. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：710 / 715

页数：6

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