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**An optimal homotopy asymptotic approach applied to nonlinear MHD Jeffery-Hamel flow.**
*(English)*
Zbl 1235.76110

Summary: A simple and effective procedure is employed to propose a new analytic approximate solution for nonlinear MHD Jeffery-Hamel flow. This technique called the Optimal Homotopy Asymptotic Method (OHAM) does not depend upon any small/large parameters and provides us with a convenient way to control the convergence of the solution. The examples given in this paper lead to the conclusion that the accuracy of the obtained results is growing along with increasing the number of constants in the auxiliary function, which are determined using a computer technique.

### MSC:

76M25 | Other numerical methods (fluid mechanics) (MSC2010) |

76W05 | Magnetohydrodynamics and electrohydrodynamics |

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\textit{V. Marinca} and \textit{N. Herişanu}, Math. Probl. Eng. 2011, Article ID 169056, 16 p. (2011; Zbl 1235.76110)

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### References:

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[10] | V. Marinca, N. Heri\csanu, and I. Neme\cs, “Optimal homotopy asymptotic method with application to thin film flow,” Central European Journal of Physics, vol. 6, pp. 648-653, 2008. |

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