Numerical solutions of the generalized Burgers-Huxley equation by implicit exponential finite difference method

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dc.authorwosidInan, Bilge/ABG-8888-2021
dc.authorwosidBahadır, Ahmet Refik/AAA-3878-2021
dc.contributor.authorInan, B.
dc.contributor.authorBahadir, A. R.
dc.date.accessioned2024-08-04T21:00:04Z
dc.date.available2024-08-04T21:00:04Z
dc.date.issued2015
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, numerical solutions of the generalized Burgers-Huxley equation are obtained using a new technique of forming improved exponential finite difference method. The technique is called implicit exponential finite difference method for the solution of the equation. Firstly, the implicit exponential finite difference method is applied to the generalized Burgers-Huxley equation. Since the generalized Burgers-Huxley equation is nonlinear the scheme leads to a system of nonlinear equations. Secondly, at each time-step Newton's method is used to solve this nonlinear system then linear equations system is obtained. Finally, linear equations system is solved using Gauss elimination method at each time-step. The numerical solutions obtained by this way are compared with the exact solutions and obtained by other methods to show the efficiency of the method.en_US
dc.identifier.doi10.1515/jamsi-2015-0012
dc.identifier.endpage67en_US
dc.identifier.issn1336-9180
dc.identifier.issn1339-0015
dc.identifier.issue2en_US
dc.identifier.startpage57en_US
dc.identifier.urihttps://doi.org/10.1515/jamsi-2015-0012
dc.identifier.urihttps://hdl.handle.net/11616/103773
dc.identifier.volume11en_US
dc.identifier.wosWOS:000216716500005en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherDe Gruyter Open Ltden_US
dc.relation.ispartofJournal of Applied Mathematics Statistics and Informaticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectThe generalized Burgers-Huxley equationen_US
dc.subjectfinite difference methoden_US
dc.subjectimplicit exponential finite difference methoden_US
dc.titleNumerical solutions of the generalized Burgers-Huxley equation by implicit exponential finite difference methoden_US
dc.typeArticleen_US

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