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A Mathematical Model and Numerical Simulations of Traffic Flow Problems

Shehadeh, Kassem LU (2018) In Bachelor's Theses in Mathematical Sciences NUMK01 20181
Mathematics (Faculty of Engineering)
Abstract
This report consists of three main parts. The first part explores how the density of traffic on a road can be mathematically modeled as a partial differential equation: a relation between a function and its derivatives. The second part describes an algorithm which can find a numerical solution for the differential equation. This algorithm is used in the third part of the report where simulations are run in order to study the effects of traffic lights on traffic.
Please use this url to cite or link to this publication:
author
Shehadeh, Kassem LU
supervisor
organization
course
NUMK01 20181
year
type
M2 - Bachelor Degree
subject
publication/series
Bachelor's Theses in Mathematical Sciences
report number
LUNFNA-4021-2018
ISSN
1654-6229
other publication id
2018:K17
language
English
id
8951896
date added to LUP
2018-06-25 16:00:00
date last changed
2018-06-25 16:00:00
@misc{8951896,
  abstract     = {{This report consists of three main parts. The first part explores how the density of traffic on a road can be mathematically modeled as a partial differential equation: a relation between a function and its derivatives. The second part describes an algorithm which can find a numerical solution for the differential equation. This algorithm is used in the third part of the report where simulations are run in order to study the effects of traffic lights on traffic.}},
  author       = {{Shehadeh, Kassem}},
  issn         = {{1654-6229}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{Bachelor's Theses in Mathematical Sciences}},
  title        = {{A Mathematical Model and Numerical Simulations of Traffic Flow Problems}},
  year         = {{2018}},
}