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Parcialne diferencialne enačbe in pretok prometa
ID Puntar, Janez (Author), ID Slapar, Marko (Mentor) More about this mentor... This link opens in a new window

URLURL - Presentation file, Visit http://pefprints.pef.uni-lj.si/6350/ This link opens in a new window

Abstract
V magistrskem delu bomo analizirali gibanje vozil na enopasovni cesti s pomočjo matematičnega modela. Model prometa bo temeljil na dveh količinah: hitrostnem polju in gostoti prometa. S pomočjo ohranitvenega zakona bomo izpeljali prometno enačbo. Prometna enačba je kvazilinearna parcialna diferencialna enačba dveh spremenljivk, ki jo lahko rešujemo s pomočjo metode karakteristik. V zadnjem delu bomo konkretno obravnavali nekatere prometne situacije.

Language:Slovenian
Keywords:sistemi diferencialnih enačb
Work type:Master's thesis/paper (mb22)
Typology:2.09 - Master's Thesis
Organization:PEF - Faculty of Education
Year:2020
COBISS.SI-ID:25916931 This link opens in a new window
Publication date in RUL:03.09.2020
Views:335
Downloads:39
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Secondary language

Language:English
Title:Partial differential equations and traffic flow
Abstract:
In this masters thesis we analyze the movement of vehicles on a one lane road using a mathematical model. Our traffic model will depend on two quantities: velocity field and traffic density. Using a conservation law, we derive the traffic equation. The traffic equation is a quasilinear partial differential equation that we can solve using the method of characteristics. In the last part of the thesis, we study a few examples of different traffic situations.

Keywords:systems of diferential equations

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