A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls

Citation

Inc, Mustafa and Akgul, Ali and Kilicman, Adem (2013) A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls. Abstract and Applied Analysis, 2013. art. no. 239454. pp. 1-12. ISSN 1085-3375; ESSN: 1687-0409

Abstract

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.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science Institute for Mathematical Research
DOI Number:	https://doi.org/10.1155/2013/239454
Publisher:	Hindawi Publishing Corporation
Keywords:	Reproducing kernel Hilbert space method; MHD Jeffery-Hamel flows; Nonparallel walls
Depositing User:	Umikalthom Abdullah
Date Deposited:	02 Jul 2014 03:58
Last Modified:	19 Oct 2017 08:54
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/239454
URI:	http://psasir.upm.edu.my/id/eprint/30140
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