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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.urihttp://doi.org/10.3906/mat-1603-94
dc.identifier.urihttp://hdl.handle.net/11147/7048
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.isoengen_US
dc.publisherTUBITAKen_US
dc.relation.isversionof10.3906/mat-1603-94en_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.contributor.authorIDTR103234en_US
dc.contributor.iztechauthorGücüyenen Kaymak, Nurcan
dc.contributor.iztechauthorTanoğlu, Gamze
dc.relation.journalTurkish Journal of Mathematicsen_US
dc.contributor.departmentIzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume42en_US
dc.identifier.issue3en_US
dc.identifier.startpage1471en_US
dc.identifier.endpage1483en_US
dc.identifier.wosWOS:000439014600057
dc.identifier.scopusSCOPUS:2-s2.0-85046716649


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