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dc.contributor.authorZeybek, H.
dc.contributor.authorKarakoc, S. Battal Gazi
dc.date.accessioned2021-03-11T07:50:58Z
dc.date.available2021-03-11T07:50:58Z
dc.date.issued2019en_US
dc.identifier.issn1026-3098
dc.identifier.urihttps://doi.org/10.24200/sci.2018.20781
dc.identifier.urihttps://hdl.handle.net/20.500.12573/580
dc.description.abstractIn this article, a collocation algorithm based on quintic B-splines is proposed to find a numerical solution to the nonlinear Generalized Regularized Long Wave (GRLW) equation. Moreover, to analyze the linear stability of the numerical scheme, the von-Neumann technique is used. The numerical approach to three test examples consisting of a single solitary wave, the collision of two solitary waves, and the growth of an undular bore is discussed. The accuracy of the method is demonstrated by calculating the error in L-2 and L-infinity norms and the conservative quantities l(1) , l(2) and l(3). The findings are compared with those previously reported in the literature. Finally, the motion of solitary waves is graphically plotted according to different parameters. (C) 2019 Sharif University of Technology. All rights reserved.en_US
dc.language.isoengen_US
dc.publisherSHARIF UNIV TECHNOLOGY, PO BOX 11155-8639, TEHRAN, 00000, IRANen_US
dc.relation.isversionof10.24200/sci.2018.20781en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectUndular boreen_US
dc.subjectQuintic B-splineen_US
dc.subjectFinite element schemeen_US
dc.subjectGRLW equationen_US
dc.subjectSolitonsen_US
dc.titleA collocation algorithm based on quintic B-splines for the solitary wave simulation of the GRLW equationen_US
dc.typearticleen_US
dc.contributor.departmentAGÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.identifier.volumeVolume: 26en_US
dc.identifier.issue6en_US
dc.identifier.startpage3356en_US
dc.identifier.endpage3368en_US
dc.relation.journalSCIENTIA IRANICAen_US
dc.relation.publicationcategoryMakale - Uluslararası - Editör Denetimli Dergien_US


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