Modelling traffic flow: Solving and interpreting differential equations

M McCartney, Malachy Carey

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.
Original languageEnglish
Pages (from-to)115-121
JournalTeaching Mathematics and its Applications
Volume18
Issue number3
DOIs
Publication statusPublished - Sep 1999

Bibliographical note

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model of traffic dynamics, Nonlinear Dynamics, 1998,
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Press, 1995.
5. Paramics web site: http:Hwww.paramics.com/
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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

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