Extension of successive midpoint scheme for nonlinear differential equations with global nonlocal operators

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dc.contributor.authorAtangana, Abdon
dc.contributor.authorAraz, Seda Igret
dc.date.accessioned2024-12-24T19:25:19Z
dc.date.available2024-12-24T19:25:19Z
dc.date.issued2025
dc.departmentSiirt Üniversitesi
dc.description.abstractThis research looked at nonlinear ordinary differential equations with global differential operators and the Dirac-delta and exponential decay kernels. A recently developed numerical approach based on the repetitive use of the well-known midpoint quadrature approximation. Although no theoretical analysis was offered, the method was applied to solve several nonlinear equations in chaos and epidemiology. The observed findings demonstrate the effect of the chosen function g (t), for example, a simple SIR model produced chaotic and crossover behaviors.
dc.description.sponsorshipNRF of South Africa
dc.description.sponsorshipThe authors would like to thank the NRF of South Africa for their support.
dc.identifier.doi10.1016/j.aej.2024.10.013
dc.identifier.endpage384
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.scopus2-s2.0-85207080975
dc.identifier.scopusqualityQ1
dc.identifier.startpage374
dc.identifier.urihttps://doi.org/10.1016/j.aej.2024.10.013
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6344
dc.identifier.volume111
dc.identifier.wosWOS:001344325100001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectRiemann-Stieltjes integral
dc.subjectJacobian
dc.subjectGlobal derivative
dc.titleExtension of successive midpoint scheme for nonlinear differential equations with global nonlocal operators
dc.typeArticle

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