A Haar wavelet collocation method for coupled nonlinear Schrodinger-KdV equations

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dc.authoridOruç, Ömer/0000-0002-6655-3543
dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridBulut, Fatih/0000-0001-6603-2468
dc.authorwosidOruç, Ömer/R-2813-2019
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidBulut, Fatih/F-7201-2013
dc.contributor.authorOruc, Omer
dc.contributor.authorEsen, Alaattin
dc.contributor.authorBulut, Fatih
dc.date.accessioned2024-08-04T20:42:35Z
dc.date.available2024-08-04T20:42:35Z
dc.date.issued2016
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, to obtain accurate numerical solutions of coupled nonlinear Schrodinger-Korteweg-de Vries (KdV) equations a Haar wavelet collocation method is proposed. An explicit time stepping scheme is used for discretization of time derivatives and nonlinear terms that appeared in the equations are linearized by a linearization technique and space derivatives are discretized by Haar wavelets. In order to test the accuracy and reliability of the proposed method L-2, L-infinity error norms and conserved quantities are used. Also obtained results are compared with previous ones obtained by finite element method, Crank-Nicolson method and radial basis function meshless methods. Error analysis of Haar wavelets is also given.en_US
dc.identifier.doi10.1142/S0129183116501035
dc.identifier.issn0129-1831
dc.identifier.issn1793-6586
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-84982950694en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1142/S0129183116501035
dc.identifier.urihttps://hdl.handle.net/11616/97473
dc.identifier.volume27en_US
dc.identifier.wosWOS:000382829400007en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal of Modern Physics Cen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHaar wavelet methoden_US
dc.subjectcoupled nonlinear Schrodinger-KdV equationen_US
dc.subjectnonlinear phenomenaen_US
dc.subjectlinearizationen_US
dc.subjectnumerical solutionen_US
dc.titleA Haar wavelet collocation method for coupled nonlinear Schrodinger-KdV equationsen_US
dc.typeArticleen_US

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