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

Application of Optimal Homotopy Asymptotic Method for solving nonlinear equations arising in heat transfer
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DOI:
10.1016/j.icheatmasstransfer.2008.02.010
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发表时间:
2008-07-01
影响因子:
7
通讯作者:
Herisanu, Nicolae
Herisanu, Nicolae
中科院分区:
工程技术2区
文献类型:
--
作者:
Marinca, Vasile;Herisanu, Nicolae

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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.