Grid Method for Solving the Flow of Traffic Problem on the Highway in a Class of Discontinuous Functions

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dc.contributor.authorRasulov, Mahir
dc.contributor.authorCocer, Kenan
dc.date.accessioned2024-03-13T10:30:22Z
dc.date.available2024-03-13T10:30:22Z
dc.date.issued2009
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description4th International Conference on Numerical Analysis and Applications -- JUN 16-20, 2008 -- Univ Rousse, Dept Numer Anal & Statist, Lozenetz, BULGARIAen_US
dc.description.abstractIn this paper a new method for obtaining an exact and numerical solution of initial value problem for a first order nonlinear partial equation which describes the traffic flow on highway in a class of discontinuous functions is developed. For this goal, at first, the special auxiliary problem having some advantages over the main problem has been suggested and using the solution of the auxiliary problem an original method for finding the weak solution of the main problem has been suggested. Using the advantages of the auxiliary problem the new numerical method for obtaining a solution which expresses the all physical properties accurately is purposed, too.en_US
dc.identifier.endpage+en_US
dc.identifier.isbn978-3-642-00463-6
dc.identifier.issn0302-9743
dc.identifier.issn1611-3349
dc.identifier.scopus2-s2.0-67650433658en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage486en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3307
dc.identifier.volume5434en_US
dc.identifier.wosWOS:000265070800056en_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.ispartofNumerical Analysis And Its Applications: 4th International Conference, Naa 2008en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleGrid Method for Solving the Flow of Traffic Problem on the Highway in a Class of Discontinuous Functionsen_US
dc.typeConference Objecten_US

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