Laguerre spectral approximation of Stokes' first problem for third-grade fluid

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dc.authorscopusid6701370438
dc.authorwosidAkyildiz, Fahir Talay/JWG-1446-2024
dc.contributor.authorAkyildiz, F. Talay
dc.date.accessioned2024-05-25T11:21:50Z
dc.date.available2024-05-25T11:21:50Z
dc.date.issued2009
dc.departmentOkan Universityen_US
dc.department-tempOkan Univ, Fac Arts & Sci, Dept Math, Istanbul, Turkeyen_US
dc.description.abstractA Laguerre-Galerkin method is proposed and analyzed for Quasilinear parabolic differential equation which arises from Stokes' first problem for a third-grade fluid on a semi-infinite interval. By reformulating this equation with suitable functional transforms, it is shown that the Laguerre-Galerkin approximations are convergent on a semi-infinite interval with spectral accuracy. An efficient and accurate algorithm based on the Laguerre-Galerkin approximations to the transformed equations is developed and implemented. Effects of non-Newtonian parameters on the flow phenomena are analyzed and documented. (C) 2007 Elsevier Ltd. All rights reserved.en_US
dc.description.sponsorshipOMU [FB.040]en_US
dc.description.sponsorshipThe author is grateful to the anonymous referee for his very helpful comments and suggestions. The author was partially supported by OMU grant FB.040.en_US
dc.identifier.citation5
dc.identifier.doi10.1016/j.nonrwa.2007.11.028
dc.identifier.endpage1041en_US
dc.identifier.issn1468-1218
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-56549101219
dc.identifier.scopusqualityQ2
dc.identifier.startpage1029en_US
dc.identifier.urihttps://doi.org/10.1016/j.nonrwa.2007.11.028
dc.identifier.urihttps://hdl.handle.net/20.500.14517/629
dc.identifier.volume10en_US
dc.identifier.wosWOS:000262141700034
dc.identifier.wosqualityQ2
dc.language.isoen
dc.publisherPergamon-elsevier Science Ltden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLaguerre-Galerkin methoden_US
dc.subjectStokes' first problemen_US
dc.subjectThird-grade fluiden_US
dc.subjectDiscontinuous boundary conditionen_US
dc.subjectQuasilinear parabolic equationen_US
dc.subjectRegularized boundary layer functionen_US
dc.titleLaguerre spectral approximation of Stokes' first problem for third-grade fluiden_US
dc.typeArticleen_US
dspace.entity.typePublication

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