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dc.contributor.authorKorkut Uysal, Sıla Övgü
dc.contributor.authorTanoğlu, Gamze
dc.date.accessioned2017-09-20T12:12:27Z
dc.date.available2017-09-20T12:12:27Z
dc.date.issued2017
dc.identifier.citationKorkut Uysal, S. Ö., and Tanoğlu, G. (2017). An efficient iterative algorithm for solving non-linear oscillation problems. Filomat, 31(9), 2713-2726. doi:10.2298/FIL1709713Ken_US
dc.identifier.issn0354-5180
dc.identifier.urihttp://hdl.handle.net/11147/6283
dc.description.abstractA new iterative method is presented for numerical solution of nonlinear evolutionary problems. The convergence properties of the proposed method are analysed in abstract framework by using the concepts of consistency, stability and order. Both the ϕ-functions and semigroup properties are used to overcome the presence of unboundedness of the operator. In order to confirm the theoretical results, the method is applied to three benchmark problems from the literature. The numerical results are compared with traditional splitting methods and confirm that the proposed method is more accurate as well as more efficient than the traditional splitting methods.en_US
dc.language.isoengen_US
dc.publisherFaculty of Sciences and Mathematics, University of Nisen_US
dc.relation.isversionof10.2298/FIL1709713Ken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConvergence analysisen_US
dc.subjectExponential integratorsen_US
dc.subjectIterative splitting methoden_US
dc.subjectNon-linear oscillation problemsen_US
dc.subjectNon-linear magnus integratoren_US
dc.titleAn efficient iterative algorithm for solving non-linear oscillation problemsen_US
dc.typearticleen_US
dc.contributor.authorIDTR103234en_US
dc.contributor.iztechauthorTanoğlu, Gamze
dc.relation.journalFilomaten_US
dc.contributor.departmentİYTE, Fen Fakültesi, Matematik Bölümüen_US
dc.identifier.volume31en_US
dc.identifier.issue9en_US
dc.identifier.startpage2713en_US
dc.identifier.endpage2726en_US
dc.identifier.wosWOS:000408376500015
dc.identifier.scopusSCOPUS:2-s2.0-85017631799


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