Nonstandard finite difference method for ODEs for initial-value problems

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dc.contributor.authorCelik, Tarik
dc.date.accessioned2026-02-28T12:40:33Z
dc.date.available2026-02-28T12:40:33Z
dc.date.issued2016
dc.departmentBayburt Üniversitesi
dc.description.abstractIn this paper, a powerful recent non-standard finite different method by nonlocal approximation is improved. Also, compared standard finite difference method to this non-standard finite different method in terms of stability and accuracy. As a numerical example, Hybrid Selection & Genetics equation is considered as the candidate from class of first order ODEs with polynomial right-hand sides. Furthermore, results obtained from the non-standard finite different method and MATLAB ODE solvers (ode15s,ode23s) compared in terms of stability, accuracy, and execution time.
dc.identifier.endpage32
dc.identifier.issn2147-5520
dc.identifier.issn2147-5520
dc.identifier.issue4
dc.identifier.startpage27
dc.identifier.urihttps://hdl.handle.net/20.500.12403/7015
dc.identifier.volume4
dc.language.isoen
dc.publisherMustafa BAYRAM
dc.relation.ispartofNew Trends in Mathematical Sciences
dc.relation.ispartofNew Trends in Mathematical Sciences
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20260218
dc.titleNonstandard finite difference method for ODEs for initial-value problems
dc.typeArticle

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