dc.contributor.author | Ochieng, Evance | |
dc.date.accessioned | 2021-02-03T07:48:43Z | |
dc.date.available | 2021-02-03T07:48:43Z | |
dc.date.issued | 2020 | |
dc.identifier.uri | http://erepository.uonbi.ac.ke/handle/11295/154616 | |
dc.description.abstract | In the recent past, the rapid growing number of vehicles on long crowded roads elicited
rigorous scienti c research activities in the eld of tra c ow modeling. In this thesis
we present and discuss some of the macroscopic models of vehicular tra c ow; here we
discuss Payne-Whitham(P-W) and the Aw-Rascle models of tra c ow both of which are
second order. We study the Riemann problems of these models. The numerical method
developed here is the nite volume method (FVM), more speci cally the Godunov-type
approximation together with the CFL condition for stability test of solutions. | en_US |
dc.language.iso | en | en_US |
dc.publisher | university of Nairobi | en_US |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.subject | Nonlinear Hyperbolic Systems | en_US |
dc.title | Numerical Solutions To Nonlinear Hyperbolic Systems Of Conservation Laws Applied To Traffic Flow Theory Research Report in Mathematics, Number 29, 2020 | en_US |
dc.type | Thesis | en_US |