Efficient techniques for numerical solutions of Fisher's equation using B-spline finite element methods

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dc.authoridKırlı, Emre/0000-0002-5704-2370|Irk, Dursun/0000-0002-3340-1578
dc.authorwosidKırlı, Emre/AEA-7875-2022
dc.contributor.authorKirli, Emre
dc.contributor.authorIrk, Dursun
dc.date.accessioned2024-07-18T20:42:24Z
dc.date.available2024-07-18T20:42:24Z
dc.date.issued2023
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractThis study presents a numerical solution of Fisher's equation. For time integration, Crank- Nicolson and fourth-order one-step implicit schemes are used and for space discretization, quintic B-spline Collocation and quintic B-spline Galerkin methods are employed. The truncation error is analyzed and the stability of the suggested methods is discussed matrix stability analysis. Three examples are studied to compare the present results with existing numerical results by computing error norm L(8 )and the order of convergence. The obtained results show that the proposed methods are satisfactorily efficient in terms of accuracy.en_US
dc.identifier.doi10.1007/s40314-023-02292-z
dc.identifier.issn2238-3603
dc.identifier.issn1807-0302
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85153086170en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s40314-023-02292-z
dc.identifier.urihttps://hdl.handle.net/11411/7270
dc.identifier.volume42en_US
dc.identifier.wosWOS:000968904900004en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofComputational & Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGalerkin Methoden_US
dc.subjectCollocation Methoden_US
dc.subjectSplineen_US
dc.subjectReaction-Diffusion Equationen_US
dc.subjectAlgorithmen_US
dc.titleEfficient techniques for numerical solutions of Fisher's equation using B-spline finite element methods
dc.typeArticle

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