Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/6874
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dc.contributor.authorSarı, Murat-
dc.contributor.authorGürarslan, Gürhan-
dc.date.accessioned2019-08-16T12:12:14Z
dc.date.available2019-08-16T12:12:14Z
dc.date.issued2009-
dc.identifier.issn0096-3003-
dc.identifier.urihttps://hdl.handle.net/11499/6874-
dc.identifier.urihttps://doi.org/10.1016/j.amc.2008.12.012-
dc.description.abstractA numerical solution of the one-dimensional Burgers' equation is obtained using a sixth-order compact finite difference method. To achieve this, a tridiagonal sixth-order compact finite difference scheme in space and a low-storage third-order total variation diminishing Runge-Kutta scheme in time have been combined. The scheme is implemented to solve two test problems with known exact solutions. Comparisons of the computed results with exact solutions showed that the method is capable of achieving high accuracy and efficiency with minimal computational effort. The present results are also seen to be more accurate than some available results given in the literature. © 2008 Elsevier Inc. All rights reserved.en_US
dc.language.isoenen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBurgers' equationen_US
dc.subjectCompact schemesen_US
dc.subjectFinite difference methoden_US
dc.subjectLow-storage Runge-Kutta schemeen_US
dc.subjectComputational efficiencyen_US
dc.subjectPowdersen_US
dc.subjectRunge Kutta methodsen_US
dc.subjectCompact finite differencesen_US
dc.subjectComputational effortsen_US
dc.subjectExact solutionsen_US
dc.subjectNumerical solutionsen_US
dc.subjectOne-dimensionalen_US
dc.subjectTest problemsen_US
dc.subjectThird ordersen_US
dc.subjectTotal variation diminishingen_US
dc.subjectTridiagonalen_US
dc.subjectDifference equationsen_US
dc.titleA sixth-order compact finite difference scheme to the numerical solutions of Burgers' equationen_US
dc.typeArticleen_US
dc.identifier.volume208en_US
dc.identifier.issue2en_US
dc.identifier.startpage475
dc.identifier.startpage475en_US
dc.identifier.endpage483en_US
dc.authorid0000-0003-0508-2917-
dc.authorid0000-0002-9796-3334-
dc.identifier.doi10.1016/j.amc.2008.12.012-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopus2-s2.0-58849096181en_US
dc.identifier.wosWOS:000262979600020en_US
dc.identifier.scopusqualityQ1-
dc.ownerPamukkale University-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
item.languageiso639-1en-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.cerifentitytypePublications-
crisitem.author.dept17.04. Mathematics-
crisitem.author.dept10.02. Civil Engineering-
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Mühendislik Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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