Crank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu Caputo derivative

Basit Öğe Kaydı
dc.authoridMODANLI, Mahmut/0000-0002-7743-3512
dc.contributor.authorAkgul, Ali
dc.contributor.authorModanli, Mahmut
dc.date.accessioned2024-12-24T19:25:24Z
dc.date.available2024-12-24T19:25:24Z
dc.date.issued2019
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, the third order partial differential equation defined by Caputo fractional derivative with Atangana-Baleanu derivative has been investigated. The stability estimates are proved for the exact solution. Difference schemes for Crank-Nicholson finite difference scheme method is constructed. The stability of difference schemes for this problem is shown by Von Neumann method (Fourier analysis method). Numerical results with respect to the exact solution confirm the accuracy and effectiveness of the technique. The reproducing kernel function for the problem has been found. (C) 2019 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.chaos.2019.06.011
dc.identifier.endpage16
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85067684634
dc.identifier.scopusqualityQ1
dc.identifier.startpage10
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2019.06.011
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6402
dc.identifier.volume127
dc.identifier.wosWOS:000487764300002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectStability
dc.subjectExact solutionss
dc.subjectApproximate solutions
dc.subjectReproducing kernel Hilbert space
dc.titleCrank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu Caputo derivative
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu