## A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls.(English)Zbl 1383.76547

Summary: The present paper emphasizes Jeffery-Hamel flow: fluid flow between two rigid plane walls, where the angle between them is $$2\alpha$$. A new method called the reproducing kernel Hilbert space method ($$RKHSM$$) is briefly introduced. The validity of the reproducing kernel method is set by comparing our results with HAM, DTM, and HPM and numerical results for different values of $$H$$, $$\alpha$$, and Re. The results show up that the proposed reproducing kernel method can achieve good results in predicting the solutions of such problems. Comparison between obtained results showed that $$RKHSM$$ is more acceptable and accurate than other methods. This method is very useful and applicable for solving nonlinear problems.

### MSC:

 76W05 Magnetohydrodynamics and electrohydrodynamics
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### References:

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