On unique solvability of nonlinear coupled systems

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dc.authorid0000-0002-2199-8493en_US
dc.authorid0000-0003-1375-2503en_US
dc.contributor.authorUzun, Meltem
dc.contributor.authorYıldırım, Özgür
dc.date.accessioned2024-07-12T20:49:03Z
dc.date.available2024-07-12T20:49:03Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this study, the unique solvability and numerical solution of coupled sine Gordon equations is considered. The variational method is implemented to obtain unique weak solution. A new hybrid numerical method which combines finite difference method and fixed point iteration is used to solve the generalized form of coupled sine-Gordon equations. The novel first order of accuracy stable difference scheme is employed with a fixed point iteration for the approximate solution of the nonlinear coupled system. Numerical experiments are presented with error analysis, to verify the accuracy of the proposed method.en_US
dc.identifier.citationUzun, M. ve Yıldırım, Ö. (2019). On unique solvability of nonlinear coupled systems. International Conference of Mathematical Sciences (ICMS 2019). s. 136.en_US
dc.identifier.endpage137en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage136en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2098
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01460
dc.subjectExistence-uniquenessen_US
dc.subjectFinite difference methoden_US
dc.subjectFixed point theoryen_US
dc.titleOn unique solvability of nonlinear coupled systemsen_US
dc.typeArticle
dspace.entity.typePublication

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