Abstract

Citation

Researchers should cite this work as follows:

• McCartney, M. (2023). 1999-McCartney-Carey-Modelling Traffic Flow Solving and Interpreting Differential Equations . SIMIODE, QUBES Educational Resources. doi:10.25334/FYBC-M937

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Article Context

Description

McCartney, Mark  and Malachy Carey. 1999. Modelling Traffic Flow: Solving and Interpreting Differential Equations.  Teaching Mathematics and its Applications: An International Journal of the IMA. 18(3): 115–121.

 See  https://academic.oup.com/teamat/article-abstract/18/3/115/1734275?redirectedFrom=PDF . Accessed 27 March 2023.

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.