@article{8131600149ef44ed803faf8a680c23b0,
title = "Modelling traffic flow: Solving and interpreting differential equations",
abstract = "A simple mathematical model for how traffic flows along a road is introduced. The resulting first-order ordinary differential equations can be used as an application of solution techniques taught at A-level and first year undergraduate level, and as a motivator to encourage students to think critically about the physical interpretation of the results which the equation produces.",
author = "M McCartney and Malachy Carey",
note = "Reference text: 1. Wan, F. Y. M., {"}Mathematical Models and Their Analysis.{"} Harper and Row, 1989. 2. Prigogine, I. and Herman, R., {"}Kinetic Theory of Vehicular Traffic.{"} American Elsevier, 1971. 3. Low, D. J. and Addison, P. S., A nonlinear temporal headway model of traffic dynamics, Nonlinear Dynamics, 1998, 16, 127-151. 4. Resnick, M., {"}Turtles, Termites and Traffic Jams.{"} MIT Press, 1995. 5. Paramics web site: http:Hwww.paramics.com/ 6. Tallarida, R. I., {"}Pocket Book of Integrals and Mathematical Formulas.{"} 2/e, CRC Press, 1992. 7. Daganzo, C. F., {"}Fundamentals of Transportation and Traffic Operations.{"} Pergamon, 1999. Downloaded from http://teamat.oxfordjournals.org/ at university of ulster on December 10, 2013",
year = "1999",
month = sep,
doi = "10.1093/teamat/18.3.115",
language = "English",
volume = "18",
pages = "115--121",
journal = "Teaching Mathematics and its Applications",
issn = "0268-3679",
publisher = "Oxford University Press",
number = "3",
}