An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
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DOI：
10.1016/j.aml.2008.03.019
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发表时间：
2009-02-01
影响因子：
3.7
通讯作者：
Marinca, Bogdan
中科院分区：
文献类型：
--
作者：
Marinca, Vasile;Herisanu, Nicolae;Marinca, Bogdan
本文提出了一种新的求解非线性问题的解析近似方法--最优同伦渐近方法（OHAM），并将其应用于四阶流体定常流动的数值计算。这种方法不依赖于任何小/大参数。该方法为控制逼近级数的收敛性和调整收敛区域提供了一种方便的方法。给出了级数解和递推关系。结果表明，该方法是有效的，易于使用。(C)2008爱思唯尔有限公司保留所有权利。
A new analytic approximate technique for addressing nonlinear problems, namely the Optimal Homotopy Asymptotic Method (OHAM), is proposed and used in an application to the steady flow of a fourth-grade fluid. This approach does not depend upon any small/large parameters. This method provides us with a convenient way to control the convergence of approximation series and adjust convergence regions when necessary. The series solution is developed and the recurrence relations are given explicitly. The results reveal that the proposed method is effective and easy to use. (C) 2008 Elsevier Ltd. All rights reserved.