Numerical solution of the one-dimensional Burgers' equation: Implicit and fully implicit exponential finite difference methods

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dc.authorwosidInan, Bilge/ABG-8888-2021
dc.authorwosidBahadır, Ahmet Refik/AAA-3878-2021
dc.contributor.authorInan, Bilge
dc.contributor.authorBahadir, Ahmet Refik
dc.date.accessioned2024-08-04T20:37:52Z
dc.date.available2024-08-04T20:37:52Z
dc.date.issued2013
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis paper describes two new techniques which give improved exponential finite difference solutions of Burgers' equation. These techniques are called implicit exponential finite difference method and fully implicit exponential finite difference method for solving Burgers' equation. As the Burgers' equation is nonlinear, the scheme leads to a system of nonlinear equations. At each time-step, Newton's method is used to solve this nonlinear system. The results are compared with exact values and it is clearly shown that results obtained using both the methods are precise and reliable.en_US
dc.identifier.doi10.1007/s12043-013-0599-z
dc.identifier.endpage556en_US
dc.identifier.issn0304-4289
dc.identifier.issn0973-7111
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84885715128en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage547en_US
dc.identifier.urihttps://doi.org/10.1007/s12043-013-0599-z
dc.identifier.urihttps://hdl.handle.net/11616/96236
dc.identifier.volume81en_US
dc.identifier.wosWOS:000325474500001en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIndian Acad Sciencesen_US
dc.relation.ispartofPramana-Journal of Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBurgers' equationen_US
dc.subjectexponential finite difference methoden_US
dc.subjectimplicit exponential finite difference methoden_US
dc.subjectfully implicit exponential finite difference methoden_US
dc.titleNumerical solution of the one-dimensional Burgers' equation: Implicit and fully implicit exponential finite difference methodsen_US
dc.typeArticleen_US

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