20.500.12556/RUL-118189 Parcialne diferencialne enačbe in pretok prometa Partial differential equations and traffic flow 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. 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. sistemi diferencialnih enačb systems of diferential equations true false false Slovenski jezik Angleški jezik Magistrsko delo/naloga 2020-08-26 09:32:14 2020-09-03 11:57:30 2025-04-17 04:54:01 0000-00-00 00:00:00 2020 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 25916931 Magistrsko_delo_-_Janez_Puntar.pdf Magistrsko_delo_-_Janez_Puntar.pdf 1 C096FB4AEB34CF136F7176BC7443F5DA 56eaec880245c1e1de58dd3cf3e506e0f8222daac366bdbf3665e56123a57f6f a395327d-1ab5-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=207259 Pedagoška fakulteta 0 0 0