An algorithm for numerical study of fractional atmospheric model using Bernoulli polynomials

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dc.contributor.authorAgrawal, Khushbu
dc.contributor.authorKumar, Sunil
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:24:56Z
dc.date.available2024-12-24T19:24:56Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractOur paper presents the chaotic behaviour of atmospheric systems with fractional order by using Bernoulli wavelet collocation technique. This technique has not yet been implemented on this model. The study have analysed the dynamics of three climate components-green house gases, temperature and permafrost thaw. To determine the simplicity and efficiency of the developed technique, numerical results have obtained. The combination of graphs and tables shows the stability and efficacy of the developed strategy. Based on the obtained results, we have draw the conclusion that this method offers superior accuracy and efficiency to other methods such as Adam Bashforth's method, Forward Euler's method and fde 12 solver method. This study have reveals the effectiveness of the numerical technique as well as the effect of the non integer derivative on atmospheric models. All calculations have been done using a mathematical program called Matlab. Environmental science can be better understood through these studies.
dc.identifier.doi10.1007/s12190-024-02084-6
dc.identifier.endpage3134
dc.identifier.issn1598-5865
dc.identifier.issn1865-2085
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85191415374
dc.identifier.scopusqualityQ1
dc.identifier.startpage3101
dc.identifier.urihttps://doi.org/10.1007/s12190-024-02084-6
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6204
dc.identifier.volume70
dc.identifier.wosWOS:001208178300001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Heidelberg
dc.relation.ispartofJournal of Applied Mathematics and Computing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectAtmospheric model
dc.subjectCollocation method
dc.subjectBernoulli wavelet operational matrix
dc.subjectAdam Bashforth scheme
dc.subjectExistence and uniqueness
dc.subjectChaotic behaviour
dc.subjectResidual error
dc.subjectBifurcation
dc.titleAn algorithm for numerical study of fractional atmospheric model using Bernoulli polynomials
dc.typeArticle

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