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

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 res...

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Main Authors: Inc, Mustafa, Akgul, Ali, Kilicman, Adem
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30140/1/30140.pdf
http://psasir.upm.edu.my/id/eprint/30140/
https://www.hindawi.com/journals/aaa/2013/239454/abs/
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spelling my.upm.eprints.301402017-10-19T08:54:40Z http://psasir.upm.edu.my/id/eprint/30140/ A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls Inc, Mustafa Akgul, Ali Kilicman, Adem 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30140/1/30140.pdf 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 https://www.hindawi.com/journals/aaa/2013/239454/abs/ 10.1155/2013/239454
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Inc, Mustafa
Akgul, Ali
Kilicman, Adem
spellingShingle Inc, Mustafa
Akgul, Ali
Kilicman, Adem
A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls
author_facet Inc, Mustafa
Akgul, Ali
Kilicman, Adem
author_sort Inc, Mustafa
title A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls
title_short A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls
title_full A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls
title_fullStr A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls
title_full_unstemmed A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls
title_sort new application of the reproducing kernel hilbert space method to solve mhd jeffery-hamel flows problem in nonparallel walls
publisher Hindawi Publishing Corporation
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30140/1/30140.pdf
http://psasir.upm.edu.my/id/eprint/30140/
https://www.hindawi.com/journals/aaa/2013/239454/abs/
_version_ 1643829969505222656
score 13.244368

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