1999-McCartney, Mark  and Malachy Carey - Modelling Traffic Flow: Solving and Interpreting Differential Equations. 

By Brian Winkel

SIMIODE, Chardon OH USA

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Abstract

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 .

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.
 

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Researchers should cite this work as follows:

  • Brian Winkel (2020), "1999-McCartney, Mark  and Malachy Carey - Modelling Traffic Flow: Solving and Interpreting Differential Equations. ," https://www.simiode.org/resources/7326.

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