Numerical comparison of Caputo and Conformable derivatives of time fractional Burgers-Fisher equation

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dc.contributor.authorYokuş, Asıf
dc.contributor.authorDurur, Hülya
dc.contributor.authorKaya, Doğan
dc.contributor.authorAhmad, Hijaz
dc.contributor.authorNofal, Taher A.
dc.date.accessioned2021-11-09T12:18:20Z
dc.date.available2021-11-09T12:18:20Z
dc.date.issued2021en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, the sub-equation method is used to obtain new types of complex traveling wave solutions of the time-fractional Burgers-Fisher equation. In this work is to compare the exact complex traveling wave solutions of new types and the numerical solutions obtained by suitable transformations of Caputo and Conformable de-rivatives. Also, to discuss the advantages and disadvantages of those derivatives and a new initial condition was created by using the obtained solution and the numerical solutions of the equation were obtained by the finite difference method. A comparison of the numerical solutions with the obtained exact solution is made. L2 and L? norm errors, absolute error values, Von Neumann stability analysis supporting this comparison are investigated. To consolidate the accuracy of the numerical results some tables and graphs are presented. For drawing complex mathematical operations and graphs, computer package programs are useden_US
dc.identifier.doi10.1016/j.rinp.2021.104247en_US
dc.identifier.scopus2-s2.0-85105596679en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11467/5089
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2021.104247
dc.identifier.wosWOS:000662180100066en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofResults in Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTime-fractional Burgers-Fisher equationen_US
dc.subjectsub-equation methoden_US
dc.subjectExact complex traveling wave solutionen_US
dc.subjectFinite difference methoden_US
dc.subjectNumerical solutionsen_US
dc.titleNumerical comparison of Caputo and Conformable derivatives of time fractional Burgers-Fisher equationen_US
dc.typeArticleen_US

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