Series solution of a nonlinear ODE arising in magnetohydrodynamic by HPM-Pade technique

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dc.contributor.authorRaftari, Behrouz
dc.contributor.authorYildirim, Ahmet
dc.date.accessioned2019-10-27T21:24:46Z
dc.date.available2019-10-27T21:24:46Z
dc.date.issued2011
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this study, we investigate the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet by employing the homotopy perturbation method (HPM) and Pade approximation. The series solution of the governing nonlinear problem is developed. Generally, the truncated series solution is adequate only in a small region when the exact solution is not reached. We overcame this limitation by using the Pade techniques, which have the advantage in turning the polynomial approximation into a rational function, are applied to the series solution to improve the accuracy and enlarge the convergence domain. Comparison of the present solutions is made with the results obtained by other applied methods and excellent agreement is noted. (C) 2011 Elsevier Ltd. All rights reserved.en_US
dc.description.sponsorshipIslamic Azad University, Kermanshah branchIslamic Azad Universityen_US
dc.description.sponsorshipB. Raftari is grateful to Islamic Azad University, Kermanshah branch for financial support through Research Project (The homotopy perturbation method for solving the system of magnetohydrodynamics (MHD) equations in unbounded domain), for completing this work.en_US
dc.identifier.doi10.1016/j.camwa.2011.01.037
dc.identifier.endpage1681en_US
dc.identifier.issn0898-1221
dc.identifier.issue6en_US
dc.identifier.startpage1676en_US
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2011.01.037
dc.identifier.urihttps://hdl.handle.net/11454/44655
dc.identifier.volume61en_US
dc.identifier.wosWOS:000289018600019en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofComputers & Mathematics With Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHomotopy perturbation methoden_US
dc.subjectPade approximationen_US
dc.subjectMHD viscous flowen_US
dc.subjectNonlinear ODEen_US
dc.titleSeries solution of a nonlinear ODE arising in magnetohydrodynamic by HPM-Pade techniqueen_US
dc.typeArticleen_US

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