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A novel finite difference scheme for time fractional diffusion-wave equation with singular kernel

dc.contributor.authorBouguetof, Khaoulaen_US
dc.contributor.authorHaouam, Kamelen_US
dc.date.accessioned2021-07-09T10:57:59Z
dc.date.available2021-07-09T10:57:59Z
dc.date.issued2021
dc.identifier.citationBouguetof, K. & Haouam, K. (2021). A novel finite difference scheme for time fractional diffusion-wave equation with singular kernel. TWMS Journal of Applied and Engineering Mathematics, 11(3), 681-688.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3181
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/112-vol11-no3/727
dc.description.abstractIn this paper, we suggest a novel numerical approximation of the CaputoFabrizio fractional derivative of order ? (1 < ? < 2). Our novel discretization is found by using discret fractional derivative at t = tk with new coefficients e?(??1)(tk?tm+ 1/2)/2?? ? e?(??1)(tk?tm? 1/2) 2?? . Also, we prove that the difference scheme is unconditionally stable.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectCaputo-Fabrizioen_US
dc.subjectDiffusion-wave equationen_US
dc.subjectNovel finite differenceen_US
dc.subjectStabilityen_US
dc.titleA novel finite difference scheme for time fractional diffusion-wave equation with singular kernelen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume11
dc.identifier.issue3
dc.identifier.startpage681
dc.identifier.endpage688
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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