NOVEL COMPARISON OF NUMERICAL AND ANALYTICAL METHODS FOR FRACTIONAL BURGER-FISHER EQUATION

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dc.contributor.authorYokus, Asif
dc.contributor.authorYavuz, Mehmet
dc.date.accessioned2024-02-23T14:37:30Z
dc.date.available2024-02-23T14:37:30Z
dc.date.issued2021
dc.departmentNEÜen_US
dc.description.abstractIn this paper, we investigate some analytical, numerical and ap-proximate analytical methods by considering time-fractional nonlinear Burger- Fisher equation (FBFE). (1/G')-expansion method, finite difference method (FDM) and Laplace perturbation method (LPM) are considered to solve the FBFE. Firstly, we obtain the analytical solution of the mentioned problem via (1/G')-expansion method. Also, we compare the numerical method solutions and point out which method is more effective and accurate. We study trun-cation error, convergence, Von Neumann's stability principle and analysis of linear stability of the FDM. Moreover, we investigate the L-2 and Loo norm errors for the FDM. According to the results of this study, it can be concluded that the finite difference method has a lower error level than the Laplace per-turbation method. Nonetheless, both of these methods are totally settlement in obtaining efficient results of fractional order differential equations.en_US
dc.identifier.doi10.3934/dcdss.2020258
dc.identifier.endpage2606en_US
dc.identifier.issn1937-1632
dc.identifier.issn1937-1179
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85109168248en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage2591en_US
dc.identifier.urihttps://doi.org/10.3934/dcdss.2020258
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16137
dc.identifier.volume14en_US
dc.identifier.wosWOS:000663083300007en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofDiscrete And Continuous Dynamical Systems-Series Sen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFinite Difference Methoden_US
dc.subjectLaplace Perturbation Methoden_US
dc.subjectLinear Stabilityen_US
dc.subjectAnalytical Solutionen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectNonlinear Time-Fractional Burger-Fisher Equationen_US
dc.titleNOVEL COMPARISON OF NUMERICAL AND ANALYTICAL METHODS FOR FRACTIONAL BURGER-FISHER EQUATIONen_US
dc.typeArticleen_US

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