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

作者：Marinca Vasile^*; Herisanu Nicolae

来源：International Communications in Heat and Mass Transfer, 2008, 35(6): 710-715.

DOI：10.1016/j.icheatmasstransfer.2008.02.010

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

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.

• 出版日期2008-7