A New Application of the Reproducing Kernel Hilbert Space Method to Solve MHD Jeffery-Hamel Flows Problem in Nonparallel Walls
This article is part of Special Issue:
Mustafa Inc,
Ali Akgül,
Adem Kılıçman,
Mustafa Inc
Department of Mathematics, Science Faculty, Fırat University, 23119 Elazığ, Turkey firat.edu.tr
Search for more papers by this authorAli Akgül
Department of Mathematics, Education Faculty, Dicle University, 21280 Diyarbakır, Turkey dicle.edu.tr
Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409-0020, USA mst.edu
Search for more papers by this authorCorresponding Author
Adem Kılıçman
Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Malaysia upm.edu.my
Search for more papers by this authorMustafa Inc,
Ali Akgül,
Adem Kılıçman,
Mustafa Inc
Department of Mathematics, Science Faculty, Fırat University, 23119 Elazığ, Turkey firat.edu.tr
Search for more papers by this authorAli Akgül
Department of Mathematics, Education Faculty, Dicle University, 21280 Diyarbakır, Turkey dicle.edu.tr
Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409-0020, USA mst.edu
Search for more papers by this authorCorresponding Author
Adem Kılıçman
Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Malaysia upm.edu.my
Search for more papers by this authorAcademic Editor: Hassan Eltayeb
Abstract
The present paper emphasizes Jeffery-Hamel flow: fluid flow between two rigid plane walls, where the angle between them is 2α. 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, α, 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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