Investigation of Nonstandard Finite Difference for Fractional Order Covid-19 Model

MakaleAçık Erişim
  • SDG 3 · Sağlık ve Kaliteli Yaşam

Özet

This article examines a mathematical model of the Covid-19 type. We demonstrate how the population is impacted by immigration, protection, the mortality, exposure, curing, and interactions between sick and healthy individuals. There are five classifications in our model: exposed, susceptible, infected, quarantined, and recovered. The model is subjected to numerical and fractional analysis in this instance. The numerical analysis is performed using the fractional order non-standard finite difference (NSFD) scheme. The Grunwald-Letnikov numerical approximation technique is used for fractional analysis. The findings are evaluated by simulations using the Matlab tool.

Anahtar Kelimeler

RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/12464Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.35378/gujs.1456440Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorMerdan, Mehmet
dc.contributor.authorAcikgoz, Pınar
dc.date.accessioned2026-10-22T10:20:09.058953413Z
dc.date.available2026-10-22T10:20:09.058953413Z
dc.date.issued2025
dc.description.abstractThis article examines a mathematical model of the Covid-19 type. We demonstrate how the population is impacted by immigration, protection, the mortality, exposure, curing, and interactions between sick and healthy individuals. There are five classifications in our model: exposed, susceptible, infected, quarantined, and recovered. The model is subjected to numerical and fractional analysis in this instance. The numerical analysis is performed using the fractional order non-standard finite difference (NSFD) scheme. The Grunwald-Letnikov numerical approximation technique is used for fractional analysis. The findings are evaluated by simulations using the Matlab tool.
dc.identifier.doi10.35378/gujs.1456440
dc.identifier.eissn2147-1762
dc.identifier.endpage889
dc.identifier.issn2147-1762
dc.identifier.issue2
dc.identifier.scopus2-s2.0-105007722690
dc.identifier.startpage874
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/12464
dc.identifier.volume38
dc.identifier.wosWOS:001508719000013
dc.language.isoen
dc.publisherGazi Universitesi
dc.relation.ispartofGazi University Journal of Science
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCaputo fractional derivative
dc.subjectCovid 19 model
dc.subjectFractional order nonstandard finite difference
dc.subjectGrünwald-Letnikov
dc.subject.classificationMultidisciplinary Sciences
dc.subject.classificationScience & Technology - Other Topics
dc.subject.otherApproximation theory
dc.subject.otherConvergence of numerical methods
dc.subject.otherFinite element method
dc.subject.otherFunction evaluation
dc.subject.otherNumerical models
dc.subject.otherCaputo fractional derivatives
dc.subject.otherCovid 19 model
dc.subject.otherFinite difference scheme
dc.subject.otherFractional order
dc.subject.otherFractional order nonstandard finite difference
dc.subject.otherGrunwald-letnikov
dc.subject.otherHealthy individuals
dc.subject.otherNon-standard finite-differences
dc.subject.otherNonstandard finite differences
dc.subject.otherNumerical approximations
dc.subject.otherFinite difference method
dc.titleInvestigation of Nonstandard Finite Difference for Fractional Order Covid-19 Model
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex2
rdl.citation.scopus3
rdl.citation.trdizin0
rdl.citation.wos2
rdl.oa.statusgold
rdl.oa.urlhttps://dergipark.org.tr/en/download/article-file/3811052
rdl.sdgSDG03
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.source.indexTRDIZIN
rdl.wos.indexEmerging Sources Citation Index (ESCI)