Numerical Solutions of the Modified Burgers' Equation by Finite Difference Methods

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dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.contributor.authorUcar, Y.
dc.contributor.authorYagmurlu, N. M.
dc.contributor.authorTasbozan, O.
dc.date.accessioned2024-08-04T21:00:04Z
dc.date.available2024-08-04T21:00:04Z
dc.date.issued2017
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this study, a numerical solution of the modified Burgers' equation is obtained by the finite difference methods. For the solution process, two linearization techniques have been applied to get over the non-linear term existing in the equation. Then, some comparisons have been made between the obtained results and those available in the literature. Furthermore, the error norms L-2 and L-infinity are computed and found to be sufficiently small and compatible with others in the literature. The stability analysis of the linearized finite difference equations obtained by two different linearization techniques has been separately conducted via Fourier stability analysis method.en_US
dc.identifier.doi10.1515/jamsi-2017-0002
dc.identifier.endpage30en_US
dc.identifier.issn1336-9180
dc.identifier.issn1339-0015
dc.identifier.issue1en_US
dc.identifier.startpage19en_US
dc.identifier.urihttps://doi.org/10.1515/jamsi-2017-0002
dc.identifier.urihttps://hdl.handle.net/11616/103774
dc.identifier.volume13en_US
dc.identifier.wosWOS:000404335200002en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherDe Gruyter Poland Sp Zooen_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.subjectModified Burgers' equationen_US
dc.subjectFinite difference methoden_US
dc.subjectFourier Stability Analysisen_US
dc.titleNumerical Solutions of the Modified Burgers' Equation by Finite Difference Methodsen_US
dc.typeArticleen_US

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