A new Fibonacci type collocation procedure for boundary value problems

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dc.authoridKoc, Ayse Betul/0000-0001-8239-2826
dc.contributor.authorKoc, Ayse Betul
dc.contributor.authorCakmak, Musa
dc.contributor.authorKurnaz, Aydin
dc.contributor.authorUslu, Kemal
dc.date.accessioned2024-09-18T20:52:55Z
dc.date.available2024-09-18T20:52:55Z
dc.date.issued2013
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractIn this study, we present a new procedure for the numerical solution of boundary value problems. This approach is mainly founded on the Fibonacci polynomial expansions, the so-called pseudospectral methods with the collocation method. The applicability and effectiveness of our proposed approach is shown by some illustrative examples. Then, the results indicate that this method is very effective and highly promising for linear differential equations defined on any subinterval of the real domain. MSC: 35A25.en_US
dc.description.sponsorshipSelcuk University; TUBITAKen_US
dc.description.sponsorshipThe authors would like to thank the editor and referees for their valuable comments and remarks, which led to a great improvement of the article. Also, authors would like to thank the Selcuk University and TUBITAK for their support. Authors reveal here that this study was partially presented orally at the International Congress in Honour of Professor Hari M Srivastava, August 23-26, 2012, Bursa, Turkey.en_US
dc.identifier.doi10.1186/1687-1847-2013-262
dc.identifier.endpage11en_US
dc.identifier.issn1687-1847
dc.identifier.scopus2-s2.0-84893553390en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://doi.org/10.1186/1687-1847-2013-262
dc.identifier.urihttps://hdl.handle.net/20.500.12483/11488
dc.identifier.wosWOS:000325698900001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeropenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectordinary differential equationsen_US
dc.subjectspectral methodsen_US
dc.subjectcollocation methoden_US
dc.subjectFibonacci polynomialsen_US
dc.titleA new Fibonacci type collocation procedure for boundary value problemsen_US
dc.typeArticleen_US

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