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ERIC Number: EJ797268
Record Type: Journal
Publication Date: 2008-Jun
Pages: 7
Abstractor: Author
ISSN: ISSN-0268-3679
Matrix Solution of Coupled Differential Equations and Looped Car Following Models
McCartney, Mark
Teaching Mathematics and Its Applications: An International Journal of the IMA, v27 n2 p59-65 Jun 2008
A simple mathematical model for the behaviour of how vehicles follow each other along a looped stretch of road is described. The resulting coupled first order differential equations are solved using appropriate matrix techniques and the physical significance of the model is discussed. A number possible classroom exercises are suggested to help students engage with the model and its solution. The material is suitable for use as part of a first course in differential equations at undergraduate level.
Oxford University Press. Great Clarendon Street, Oxford, OX2 6DP, UK. Tel: +44-1865-353907; Fax: +44-1865-353485; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A