A New Application of the Reproducing Kernel Hilbert Space Method to Solve MHD Jeffery-Hamel Flows Problem in Nonparallel WallsReportar como inadecuado




A New Application of the Reproducing Kernel Hilbert Space Method to Solve MHD Jeffery-Hamel Flows Problem in Nonparallel Walls - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract and Applied AnalysisVolume 2013 2013, Article ID 239454, 12 pages

Research Article

Department of Mathematics, Science Faculty, Fırat University, 23119 Elazığ, Turkey

Department of Mathematics, Education Faculty, Dicle University, 21280 Diyarbakır, Turkey

Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409-0020, USA

Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Malaysia

Received 9 February 2013; Accepted 28 February 2013

Academic Editor: Hassan Eltayeb

Copyright © 2013 Mustafa Inc et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The present paper emphasizes Jeffery-Hamel flow: fluid flow between two rigid plane walls, where the angle between them is 2. 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 , , 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.





Autor: Mustafa Inc, Ali Akgül, and Adem Kılıçman

Fuente: https://www.hindawi.com/



DESCARGAR PDF




Documentos relacionados