A Mathematical Model and Numerical Simulations of Traffic Flow Problems
(2018) In Bachelor's Theses in Mathematical Sciences NUMK01 20181Mathematics (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:
http://lup.lub.lu.se/student-papers/record/8951896
- author
- Shehadeh, Kassem LU
- supervisor
-
- Stefan Diehl LU
- organization
- course
- NUMK01 20181
- year
- 2018
- 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}}, }