Numerical simulation of initial and initial-boundary value problems for traffic flow in a class of discontinuous functions

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dc.contributor.authorRasulov M.
dc.contributor.authorSinsoysal B.
dc.contributor.authorHayta S.
dc.date.accessioned2024-03-13T10:01:30Z
dc.date.available2024-03-13T10:01:30Z
dc.date.issued2006
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIn this paper, a new method for obtaining a numerical solution of the Cauchy and initial- boundary problems for a first order nonlinear partial differential equation which describes the traffic flow on highway is suggested. For this purpose, the first and second type auxiliary problems having some advantages over the main problem, but equivalent to it, are introduced and some properties of the numerical solution are studied. Some computer experiments have been carried out.en_US
dc.identifier.endpage1342en_US
dc.identifier.issn1109-2769
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-33751583488en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage1339en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3236
dc.identifier.volume5en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofWSEAS Transactions on Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFinite differences scheme in a class of discontinuous functionsen_US
dc.subjectNumerical extended solutionen_US
dc.subjectTraffic flowen_US
dc.titleNumerical simulation of initial and initial-boundary value problems for traffic flow in a class of discontinuous functionsen_US
dc.typeArticleen_US

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