A collocation method for solving time fractional nonlinear Korteweg-de Vries-Burgers equation arising in shallow water waves

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dc.authoridKaraagac, Berat/0000-0002-6020-3243
dc.authoridOwolabi, Kolade Matthew/0000-0001-9290-3458
dc.authoridPindza, Edson/0000-0003-3207-8067
dc.authorwosidKaraagac, Berat/E-6311-2019
dc.authorwosidOwolabi, Kolade Matthew/AAA-2307-2019
dc.contributor.authorKaraagac, Berat
dc.contributor.authorEsen, Alaattin
dc.contributor.authorOwolabi, Kolade M. M.
dc.contributor.authorPindza, Edson
dc.date.accessioned2024-08-04T20:53:21Z
dc.date.available2024-08-04T20:53:21Z
dc.date.issued2023
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis paper focuses on numerical solutions of time fractional nonlinear Korteweg-de Vries-Burgers equation formulated with Caputo's fractional derivative. For this purpose, a framework of combinations of collocation method with the finite-element method is provided using trigonometric quintic B-spline basis. The method consists of both spatial discretization and temporal discretization using approximate solution and Crank-Nicolson approach. Discretizing fractional derivative is made using L1(0 <= 1) algorithm which is derived from the definition of Caputo derivative using an approximate function. The stability analysis is established using von-Neumann stability technique. The numerical results obtained using the collocation method are presented via tables and graphics. The novel results demonstrate the efficiency and reliability of the method.en_US
dc.identifier.doi10.1142/S0129183123500961
dc.identifier.issn0129-1831
dc.identifier.issn1793-6586
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85146262026en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1142/S0129183123500961
dc.identifier.urihttps://hdl.handle.net/11616/101115
dc.identifier.volume34en_US
dc.identifier.wosWOS:000910745900002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal of Modern Physics Cen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectKorteweg-de Vries-Burgers equationen_US
dc.subjectCaputo fractional derivativeen_US
dc.subjectcollocation methoden_US
dc.subjecttrigonometric quintic B-splinesen_US
dc.subjectvon-Neumann stability techniqueen_US
dc.titleA collocation method for solving time fractional nonlinear Korteweg-de Vries-Burgers equation arising in shallow water wavesen_US
dc.typeArticleen_US

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