## An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate.(English)Zbl 1163.76318

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:

 76A05 Non-Newtonian fluids 76M25 Other numerical methods (fluid mechanics) (MSC2010)
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### References:

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