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Zbl 1163.76318
Marinca, Vasile; Herişanu, Nicolae; Bota, Constantin; Marinca, Bogdan
An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate. (English)
[J] Appl. Math. Lett. 22, No. 2, 245-251 (2009). ISSN 0893-9659

Summary: 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.

MSC 2000:: *76A05 Non-Newtonian fluids
76M25 Other numerical methods

Keywords: optimal homotopy asymptotic method (OHAM); fourth-grade fluid; porous plate

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