A Crank-Nicolson Approximation for the time Fractional Burgers Equation

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.contributor.authorOnal, M.
dc.contributor.authorEsen, A.
dc.date.accessioned2024-08-04T20:48:56Z
dc.date.available2024-08-04T20:48:56Z
dc.date.issued2020
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the present manuscript, Crank Nicolson finite difference method is going to be applied to get the approximate solutions for the fractional Burgers equation. The fractional derivative used in this equation is going to be taken into consideration in the Caputo sense. The L1 type discretization formula is going to be applied to this equation. For checking the efficiency of proposed methods, the error norms L-2 and L-infinity have at the same time been calculated. Those newly got solutions using the presented method illustrate the easy usage and efficiency of the approach presented in this manuscript.en_US
dc.description.sponsorshipInonu University Scientific Research Projects [FYL-2018/1082]en_US
dc.description.sponsorshipThe present research was supported by the Inonu University Scientific Research Projects under contracts FYL-2018/1082.en_US
dc.identifier.doi10.2478/AMNS.2020.2.00023
dc.identifier.endpage184en_US
dc.identifier.issn2444-8656
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85091340947en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage177en_US
dc.identifier.urihttps://doi.org/10.2478/AMNS.2020.2.00023
dc.identifier.urihttps://hdl.handle.net/11616/99551
dc.identifier.volume5en_US
dc.identifier.wosWOS:000664173100013en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofApplied Mathematics and Nonlinear Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional order derivativesen_US
dc.subjectCrank Nicolson Finite Difference methodsen_US
dc.subjectFractional Burgers equationen_US
dc.titleA Crank-Nicolson Approximation for the time Fractional Burgers Equationen_US
dc.typeArticleen_US

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