Investigation of Nonstandard Finite Difference for Fractional Order Covid-19 Model
MakaleAçık Erişim
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 adresTam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Merdan, Mehmet | |
| dc.contributor.author | Acikgoz, Pınar | |
| dc.date.accessioned | 2026-10-22T10:20:09.058953413Z | |
| dc.date.available | 2026-10-22T10:20:09.058953413Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | 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. | |
| dc.identifier.doi | 10.35378/gujs.1456440 | |
| dc.identifier.eissn | 2147-1762 | |
| dc.identifier.endpage | 889 | |
| dc.identifier.issn | 2147-1762 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-105007722690 | |
| dc.identifier.startpage | 874 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/gumushane/12464 | |
| dc.identifier.volume | 38 | |
| dc.identifier.wos | WOS:001508719000013 | |
| dc.language.iso | en | |
| dc.publisher | Gazi Universitesi | |
| dc.relation.ispartof | Gazi University Journal of Science | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Caputo fractional derivative | |
| dc.subject | Covid 19 model | |
| dc.subject | Fractional order nonstandard finite difference | |
| dc.subject | Grünwald-Letnikov | |
| dc.subject.classification | Multidisciplinary Sciences | |
| dc.subject.classification | Science & Technology - Other Topics | |
| dc.subject.other | Approximation theory | |
| dc.subject.other | Convergence of numerical methods | |
| dc.subject.other | Finite element method | |
| dc.subject.other | Function evaluation | |
| dc.subject.other | Numerical models | |
| dc.subject.other | Caputo fractional derivatives | |
| dc.subject.other | Covid 19 model | |
| dc.subject.other | Finite difference scheme | |
| dc.subject.other | Fractional order | |
| dc.subject.other | Fractional order nonstandard finite difference | |
| dc.subject.other | Grunwald-letnikov | |
| dc.subject.other | Healthy individuals | |
| dc.subject.other | Non-standard finite-differences | |
| dc.subject.other | Nonstandard finite differences | |
| dc.subject.other | Numerical approximations | |
| dc.subject.other | Finite difference method | |
| dc.title | Investigation of Nonstandard Finite Difference for Fractional Order Covid-19 Model | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| rdl.citation.openalex | 2 | |
| rdl.citation.scopus | 3 | |
| rdl.citation.trdizin | 0 | |
| rdl.citation.wos | 2 | |
| rdl.oa.status | gold | |
| rdl.oa.url | https://dergipark.org.tr/en/download/article-file/3811052 | |
| rdl.sdg | SDG03 | |
| rdl.source.index | SCOPUS | |
| rdl.source.index | WOS | |
| rdl.source.index | TRDIZIN | |
| rdl.wos.index | Emerging Sources Citation Index (ESCI) |

