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dc.contributor.authorBayındır, Cihanen_US
dc.date.accessioned2019-06-27T15:45:29Z
dc.date.available2019-06-27T15:45:29Z
dc.date.issued2015-02-09
dc.identifier.citationBayındır, C. (2015). Compressive split-step Fourier method. Journal of Applied and Engineering Mathematics, 5(2), 298-306.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.otherWOS:000377696600013
dc.identifier.urihttps://hdl.handle.net/11729/1625
dc.identifier.urihttps://app.trdizin.gov.tr/makale/TVRreU5UUTBOQT09
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/90-vol5no2/225
dc.description.abstractIn this paper an approach for decreasing the computational effort required for the split-step Fourier method (SSFM) is introduced. It is shown that using the sparsity property of the simulated signals, the compressive sampling algorithm can be used as a very efficient tool for the split-step spectral simulations of various phenomena which can be modeled by using differential equations. The proposed method depends on the idea of using a smaller number of spectral components compared to the classical split-step Fourier method with a high number of components. After performing the time integration with a smaller number of spectral components and using the compressive sampling technique with l(1) minimization, it is shown that the sparse signal can be reconstructed with a significantly better efficiency compared to the classical split-step Fourier method. Proposed method can be named as compressive split-step Fourier method (CSSFM). For testing of the proposed method the Nonlinear Schrodinger Equation and its one-soliton and two-soliton solutions are considered.en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCompressive samplingen_US
dc.subjectNonlinear Schrodinger equationen_US
dc.subjectSparse signalsen_US
dc.subjectSplit step Fourier methoden_US
dc.subjectEquationen_US
dc.titleCompressive split-step Fourier methoden_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal of Applied and Engineering Mathematicsen_US
dc.contributor.departmentIşık Üniversitesi, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümüen_US
dc.contributor.departmentIşık University, Faculty of Engineering, Department of Civil Engineeringen_US
dc.contributor.authorID0000-0002-3654-0469
dc.identifier.volume5
dc.identifier.issue2
dc.identifier.startpage298
dc.identifier.endpage306
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.institutionauthorBayındır, Cihanen_US


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