A new outlook for analysis of Noyes-Field model for the nonlinear Belousov-Zhabotinsky reaction using operator splitting method

dc.authoridKaraagac, Berat/0000-0002-6020-3243
dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authorwosidKaraagac, Berat/E-6311-2019
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.contributor.authorKaraagac, Berat
dc.contributor.authorEsen, Alaattin
dc.contributor.authorUcar, Yusuf
dc.contributor.authorYagmurlu, Nuri Murat
dc.date.accessioned2024-08-04T20:53:27Z
dc.date.available2024-08-04T20:53:27Z
dc.date.issued2023
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe main idea of this paper is to investigate numerical solutions of Noyes Field model for Belousov-Zhabotinsky reaction by implementing the combination of two well-known numerical techniques. The proposed methods are collocation method based on finite elements, which is a useful and very flexible approach for solving partial differential equations (PDE), and operator splitting method which is a widely used procedure in the numerical solution of initial and boundary value problems for PDEs. Especially, for this paper, the application of collocation methods are based on trigonometric cubic B-splines. With the help of two techniques discrete schemes are investigated. Next, we presented stability of discrete schemes with Von- Neumann stability analysis. Also, we present the result of applying methods to Noyes Field model and the error norms L-2 and L-infinity to show how accurate numerical solutions to exact ones and graphical representations associated numerical results are shown.en_US
dc.identifier.doi10.1016/j.camwa.2023.02.009
dc.identifier.endpage135en_US
dc.identifier.issn0898-1221
dc.identifier.issn1873-7668
dc.identifier.scopus2-s2.0-85148686888en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage127en_US
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2023.02.009
dc.identifier.urihttps://hdl.handle.net/11616/101186
dc.identifier.volume136en_US
dc.identifier.wosWOS:000990776100001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofComputers & Mathematics With Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNoyes-Field modelen_US
dc.subjectCollocation methoden_US
dc.subjectTrigonometric B-spline basisen_US
dc.subjectStability analysisen_US
dc.titleA new outlook for analysis of Noyes-Field model for the nonlinear Belousov-Zhabotinsky reaction using operator splitting methoden_US
dc.typeArticleen_US

Dosyalar