Numerical simulation of blow-up solutions for the generalized Davey-Stewartson system

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dc.authorid0000-0003-2268-3992
dc.authorid0000-0002-5167-609X
dc.contributor.authorMuslu, Gülçin Mihriyeen_US
dc.contributor.authorErbay, Hüsnü Ataen_US
dc.date.accessioned2015-01-15T23:01:52Z
dc.date.available2015-01-15T23:01:52Z
dc.date.issued2011-03
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractBlow-up solutions for the generalized Davey-Stewartson system are studied numerically by using a split-step Fourier method. The numerical method has spectral-order accuracy in space and first-order accuracy in time. To evaluate the ability of the split-step Fourier method to detect blow-up, numerical simulations are conducted for several test problems, and the numerical results are compared with the analytical results available in the literature. Good agreement between the numerical and analytical results is observed.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationErbay, H. A. & Muslu, G. M. (2011). Numerical simulation of blow-up solutions for the generalized davey-stewartson system. International Journal of Computer Mathematics, 88(4), 805-815. doi:10.1080/00207161003768380en_US
dc.identifier.doi10.1080/00207161003768380
dc.identifier.endpage815
dc.identifier.issn0020-7160
dc.identifier.issue4
dc.identifier.scopus2-s2.0-79952593867
dc.identifier.scopusqualityQ2
dc.identifier.startpage805
dc.identifier.urihttps://hdl.handle.net/11729/422
dc.identifier.urihttp://dx.doi.org/10.1080/00207161003768380
dc.identifier.volume88
dc.identifier.wosWOS:000287795600011
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorErbay, Hüsnü Ataen_US
dc.institutionauthorid0000-0002-5167-609X
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofInternational Journal of Computer Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSplit-step fourier methoden_US
dc.subjectGeneralized davey-stewartson systemen_US
dc.subjectBlow-upen_US
dc.subjectNonlinear Schrödinger-equationen_US
dc.subjectPacketsen_US
dc.subjectSchrödinger equationen_US
dc.subjectSemilinear waveen_US
dc.titleNumerical simulation of blow-up solutions for the generalized Davey-Stewartson systemen_US
dc.typeArticleen_US
dspace.entity.typePublication

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