Finding the location of the shock wave of traffic flow on highways in a class of discontinuous functions

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dc.contributor.authorRasulov M.
dc.contributor.authorSilahtaroglu G.
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 method for obtaining an exact solution and the location of the jump in the solution of the Cauchy problem for a first order partial differential equation which describes the traffic flow on highways is suggested. At first, a special auxiliary problem having some advantages over the main problem has been proposed and using the advantages of the auxiliary problem an original method for obtaining the weak solution of the main problem has been proposed. In order to show the effectiveness of the suggested method, on the basis of the real data some numerical experiments have been carried out.en_US
dc.identifier.endpage1346en_US
dc.identifier.issn1109-2769
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-33751571773en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage1343en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3237
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.subjectAuxiliary problemen_US
dc.subjectDifferences scheme in a class of discontinuous functionsen_US
dc.subjectExtended solutionen_US
dc.subjectTraffic flowen_US
dc.titleFinding the location of the shock wave of traffic flow on highways in a class of discontinuous functionsen_US
dc.typeArticleen_US

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