Investigating the Dynamics of Traffic Flow on a Highway in a Class of Discontinuous Functions

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dc.contributor.authorSinsoysal, Bahaddin
dc.contributor.authorBal, Hakan
dc.contributor.authorSahin, E. Ilhan
dc.date.accessioned2024-03-13T10:30:23Z
dc.date.available2024-03-13T10:30:23Z
dc.date.issued2015
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description6th International Conference on Finite Difference Methods - Theory and Applications (FDM - T and A) -- JUN 18-23, 2014 -- Lozenetz, BULGARIAen_US
dc.description.abstractThis work is devoted to finding a solution of Riemann problem for the first order nonlinear partial equation which describes the traffic flow on highway. When rho(l) > rho(r), the solution is presented as a piecewise continuous function, where rho(l) and rho(r) are the densities of cars on the left and right side of the intersection respectively. On the contrary case, a shock of which the location is unknown beforehand arises in the solution. In this case, a special auxiliary problem is introduced, the solution of which makes it possible to write the exact solution showing the locations of shock. For the realization of the proposed method, the parameters of the flow are also found.en_US
dc.description.sponsorshipUnit Rousse Angel Kancheven_US
dc.identifier.doi10.1007/978-3-319-20239-6_39
dc.identifier.endpage363en_US
dc.identifier.isbn978-3-319-20239-6
dc.identifier.isbn978-3-319-20238-9
dc.identifier.issn0302-9743
dc.identifier.scopus2-s2.0-84947087247en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage356en_US
dc.identifier.urihttps://doi.org/10.1007/978-3-319-20239-6_39
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3318
dc.identifier.volume9045en_US
dc.identifier.wosWOS:000364326600039en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer-Verlag Berlinen_US
dc.relation.ispartofFinite Difference Methods, Theory And Applicationsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTraffic flow equationen_US
dc.subjectShocken_US
dc.subjectCharacteristicsen_US
dc.subjectWeak solutionen_US
dc.titleInvestigating the Dynamics of Traffic Flow on a Highway in a Class of Discontinuous Functionsen_US
dc.typeConference Objecten_US

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