Finite differences method for shallow water equations in a class of discontinuous functions

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dc.contributor.authorRasulov, M
dc.contributor.authorAslan, Z
dc.contributor.authorPakdil, O
dc.date.accessioned2024-03-13T10:30:55Z
dc.date.available2024-03-13T10:30:55Z
dc.date.issued2005
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIn this study a finite difference method for solving initial boundary value problem for the one-dimensional nonlinear system of differential equations describing shallow water flows in a class of discontinuous functions is suggested. In order to find the numerical solution of the problem, known as main problem, a special auxiliary problem is introduced. The degree of smoothness of the solution of the auxiliary problem is higher than the smoothness of the solution of the main problem. Moreover, the suggested auxiliary problem makes it possible to write out the effective and higher order numerical algorithms. Some results of numerical experiments are demonstrated. (C) 2003 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.amc.2003.08.131
dc.identifier.endpage353en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-9644295915en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage343en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2003.08.131
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3604
dc.identifier.volume160en_US
dc.identifier.wosWOS:000225345700005en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics And Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectshallow water equationsen_US
dc.subjectnumerical modelling in a class of discontinuous functionsen_US
dc.subjectshock wavesen_US
dc.subjectnonlinear wave propagationen_US
dc.titleFinite differences method for shallow water equations in a class of discontinuous functionsen_US
dc.typeArticleen_US

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