A numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation

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dc.contributor.authorEsen, Alaattin
dc.contributor.authorKaraagac, Berat
dc.contributor.authorYagmurlu, Nuri Murat
dc.contributor.authorUcar, Yusuf
dc.contributor.authorManafian, Jalil
dc.date.accessioned2026-04-04T13:33:31Z
dc.date.available2026-04-04T13:33:31Z
dc.date.issued2024
dc.departmentİnönü Üniversitesi
dc.description.abstractIn this study, an efficient numerical method is applied to KdV-Burger-Fisher equation which is one of the dispersion-dissipation-reaction model. The present method is based on the collocation method whose weight functions are taken from the family of the Dirac delta functions in finite element methods. The element functions are selected as quintic trigonometric B-spline basis. The error norms L 2 and L infinity are calculated to measure the efficiency of the method. Numerical solutions and error norms which are obtained via collocation method and trigonometric basis are presented in tables and simulations of the solutions are exhibited as well. Additionally, stability analysis is investigated.
dc.identifier.doi10.1088/1402-4896/ad635c
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issue8
dc.identifier.orcid0000-0001-7201-6667
dc.identifier.orcid0000-0003-1593-0254
dc.identifier.scopus2-s2.0-85199689092
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1088/1402-4896/ad635c
dc.identifier.urihttps://hdl.handle.net/11616/109210
dc.identifier.volume99
dc.identifier.wosWOS:001275859000001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIop Publishing Ltd
dc.relation.ispartofPhysica Scripta
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250329
dc.subjectKdV-Burger-Fisher equation
dc.subjectcollocation method
dc.subjectquintic trigonometric B-spline basis
dc.subjectStability
dc.titleA numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation
dc.typeArticle

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