A New Perspective on The Numerical Solution for Fractional Klein Gordon Equation

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dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authoridKaraagac, Berat/0000-0002-6020-3243
dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authorwosidEsen, Alaattin/F-2415-2016
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.authorwosidKaraagac, Berat/E-6311-2019
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.contributor.authorKaraagac, Berat
dc.contributor.authorUcar, Yusuf
dc.contributor.authorYagmurlu, N. Murat
dc.contributor.authorEsen, Alaattin
dc.date.accessioned2024-08-04T20:10:31Z
dc.date.available2024-08-04T20:10:31Z
dc.date.issued2019
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the present manuscript, a new numerical scheme is presented for solving the time fractional nonlinear Klein-Gordon equation. The approximate solutions of the fractional equation are based on cubic B-spline collocation finite element method and L2 algorithm. The fractional derivative in the given equation is handled in terms of Caputo sense. Using the methods, fractional differential equation is converted into algebraic equation system that are appropriate for computer coding. Then, two model problems are considered and their error norms are calculated to demonstrate the reliability and efficiency of the proposed method. The newly calculated error norms show that numerical results are in a good agreement with the exact solutions.en_US
dc.identifier.doi10.2339/politeknik.428986
dc.identifier.endpage451en_US
dc.identifier.issn1302-0900
dc.identifier.issn2147-9429
dc.identifier.issue2en_US
dc.identifier.startpage443en_US
dc.identifier.trdizinid315578en_US
dc.identifier.urihttps://doi.org/10.2339/politeknik.428986
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/315578
dc.identifier.urihttps://hdl.handle.net/11616/92821
dc.identifier.volume22en_US
dc.identifier.wosWOS:000462172000021en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherGazi Univen_US
dc.relation.ispartofJournal of Polytechnic-Politeknik Dergisien_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFinite element methoden_US
dc.subjectcollocationen_US
dc.subjectFractional Klein Gordon equationen_US
dc.subjectCaputo derivativeen_US
dc.titleA New Perspective on The Numerical Solution for Fractional Klein Gordon Equationen_US
dc.typeArticleen_US

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