PRESERVATION OF THE INVARIANTS OF LOTKA-VOLTERRA EQUATIONS BY ITERATED DEFERRED CORRECTION METHODS

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dc.contributor.authorUzunca, M.
dc.date.accessioned2025-03-23T19:47:46Z
dc.date.available2025-03-23T19:47:46Z
dc.date.issued2021
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper we apply Kahan's nonstandard discretization to three dimensional Lotka-Volterra equations in bi-Hamiltonian form. The periodicity of the solutions and all polynomial and non-polynomial invariants are well preserved in long-term integration. Applying classical deferred correction method, we show that the invariants are preserved with increasing accuracy as a results of more accurate numerical solutions. Substantial speedups over the Kahan's method are achieved at each run with deferred correction method.
dc.identifier.endpage1092
dc.identifier.issn2146-1147
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85119171310
dc.identifier.scopusqualityQ3
dc.identifier.startpage1080
dc.identifier.urihttps://hdl.handle.net/11486/7435
dc.identifier.volume11
dc.identifier.wosWOS:000704458100012
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorUzunca, M.
dc.language.isoen
dc.publisherTurkic World Mathematical Soc
dc.relation.ispartofTwms Journal of Applied and Engineering Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectLotka-Volterra equations
dc.subjectconserved quantities
dc.subjectKahan's method
dc.subjectiterated de-ferred correction
dc.titlePRESERVATION OF THE INVARIANTS OF LOTKA-VOLTERRA EQUATIONS BY ITERATED DEFERRED CORRECTION METHODS
dc.typeArticle

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