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dc.contributor.authorCoskun, Safa Bozkurt
dc.contributor.authorAtay, Mehmet Tarik
dc.contributor.authorSenturk, Erman
dc.date.accessioned2021-03-03T08:27:11Z
dc.date.available2021-03-03T08:27:11Z
dc.date.issued2019en_US
dc.identifier.issn1872-7166
dc.identifier.issn0378-4754
dc.identifier.urihttps://doi.org/10.1016/j.matcom.2019.07.006
dc.identifier.urihttps://hdl.handle.net/20.500.12573/573
dc.description.abstractThe purpose of this study is to present an analytical based numerical solution for Jamming Transition Problem (JTP) using Interpolated Variational Iteration Method (IVIM). The method eliminates the difficulties on analytical integration of expressions in analytical variational iteration technique and provides numerical results with analytical accuracy. JTP may be transformed into a nonlinear non-conservative oscillator by Lorenz system in which jamming transition is presented as spontaneous deviations of headway and velocity caused by the acceleration/breaking rate to be higher than the critical value. The resulting governing equation of JTP has no exact solution due to existing nonlinearities in the equation. The problem was previously attempted to be solved semi-analytically via analytical approximation methods including analytical variational iteration technique. The results of this study show that IVIM solutions agree very well with the numerical solution provided by the mathematical software. IVIM with two different formulation according to governing equation is introduced. Required order of the solution and number of time steps for a good agreement is determined according to the analyses performed using IVIM. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.en_US
dc.language.isoengen_US
dc.publisherELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDSen_US
dc.relation.isversionof10.1016/j.matcom.2019.07.006en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLorenz systemen_US
dc.subjectJamming Transition Problemen_US
dc.subjectInterpolated Variational Iteration Methoden_US
dc.subjectAnalytical approximate solutionen_US
dc.titleInterpolated variational iteration method for solving the jamming transition problemen_US
dc.typearticleen_US
dc.contributor.departmentAGÜ, Mühendislik Fakültesi, Makine Mühendisliği Bölümüen_US
dc.contributor.authorID0000-0002-0833-7113en_US
dc.identifier.volumeVolume: 166en_US
dc.identifier.startpage481en_US
dc.identifier.endpage493en_US
dc.relation.journalMATHEMATICS AND COMPUTERS IN SIMULATIONen_US
dc.relation.publicationcategoryMakale - Uluslararası - Editör Denetimli Dergien_US


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