Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/7048
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dc.contributor.authorZürnacı, Fatma-
dc.contributor.authorGücüyenen Kaymak, Nurcan-
dc.contributor.authorSeydaoğlu, Muaz-
dc.contributor.authorTanoğlu, Gamze-
dc.date.accessioned2018-12-17T13:17:44Z-
dc.date.available2018-12-17T13:17:44Z-
dc.date.issued2018-
dc.identifier.citationZürnacı, F., Gücüyenen Kaymak, N., Seydaoğlu, M., and Tanoğlu, G. (2018). Convergence analysis and numerical solution of the Benjamin-Bona-Mahony equation by Lie-Trotter splitting. Turkish Journal of Mathematics, 42(3), 1471-1483. doi:10.3906/mat-1603-94en_US
dc.identifier.issn1300-0098-
dc.identifier.issn1303-6149-
dc.identifier.urihttp://doi.org/10.3906/mat-1603-94-
dc.identifier.urihttp://hdl.handle.net/11147/7048-
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/348748-
dc.description.abstractIn this paper, an operator splitting method is used to analyze nonlinear Benjamin-Bona-Mahony-type equations. We split the equation into an unbounded linear part and a bounded nonlinear part and then Lie-Trotter splitting is applied to the equation. The local error bounds are obtained by using the approach based on the differential theory of operators in a Banach space and the quadrature error estimates via Lie commutator bounds. The global error estimate is obtained via Lady Windermere's fan argument. Finally, to confirm the expected convergence order, numerical examples are studied.en_US
dc.language.isoenen_US
dc.publisherTUBITAKen_US
dc.relation.ispartofTurkish Journal of Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBenjamin-Bona-Mahony equationen_US
dc.subjectConvergence analysisen_US
dc.subjectLie-Trotter splittingen_US
dc.titleConvergence analysis and numerical solution of the Benjamin-Bona-Mahony equation by Lie-Trotter splittingen_US
dc.typeArticleen_US
dc.authoridTR103234en_US
dc.institutionauthorGücüyenen Kaymak, Nurcan-
dc.institutionauthorTanoğlu, Gamze-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume42en_US
dc.identifier.issue3en_US
dc.identifier.startpage1471en_US
dc.identifier.endpage1483en_US
dc.identifier.wosWOS:000439014600057en_US
dc.identifier.scopus2-s2.0-85046716649en_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.3906/mat-1603-94-
dc.relation.doi10.3906/mat-1603-94en_US
dc.coverage.doi10.3906/mat-1603-94en_US
dc.identifier.trdizinid348748en_US
dc.identifier.wosqualityQ3-
dc.identifier.scopusqualityQ3-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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