Multi-step gH-difference-based methods for fuzzy differential equations

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dc.authoridTofigh Allahviranloo / 0000-0002-6673-3560en_US
dc.authorscopusidTofigh Allahviranloo / 8834494700en_US
dc.authorwosidTofigh Allahviranloo / V-4843-2019en_US
dc.contributor.authorSafikhani, Leila
dc.contributor.authorVahidi, Alireza
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorAfshar Kermani, Mozhdeh
dc.date.accessioned2023-02-03T07:54:39Z
dc.date.available2023-02-03T07:54:39Z
dc.date.issued2023en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe main purpose of this paper is to introduce fuzzy Adams–Bashforth (A–B) and fuzzy Adams–Moulton (A–M) methods based on the generalized Hukuhara (gH)-differentiability and employ them as the predictor and corrector, respectively. The local truncation error, stability and convergence of these methods are discussed in the sequel. Finally, some fuzzy linear and nonlinear initial value problems (IVPs) are solved. The numerical results obtained here show that our methods provide a suitable approximation for the exact solution. © 2023, The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional.en_US
dc.identifier.citationSafikhani, L., Vahidi, A., Allahviranloo, T., & Afshar Kermani, M. (2023). Multi-step gH-difference-based methods for fuzzy differential equations. Computational and Applied Mathematics, 42(1), 1-30.en_US
dc.identifier.doi10.1007/s40314-022-02167-9en_US
dc.identifier.issn2238-3603en_US
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85145348952en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttp://doi.org/10.1007/s40314-022-02167-9
dc.identifier.urihttps://hdl.handle.net/20.500.12713/3869
dc.identifier.volume42en_US
dc.identifier.wosWOS:000906728900002en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAllahviranloo, Tofigh
dc.language.isoenen_US
dc.publisherSpringer Natureen_US
dc.relation.ispartofcomputational and applied mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFuzzy Adams–Bashforth Methoden_US
dc.subjectFuzzy Adams–Moulton Methoden_US
dc.subjectGeneralized Hukuhara Differenceen_US
dc.subjectLocal Truncation Erroren_US
dc.titleMulti-step gH-difference-based methods for fuzzy differential equationsen_US
dc.typeArticleen_US

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