Matrix solution of coupled differential equations and looped car following models

• Mark McCartney ^[1]
  1. [1] University of Ulster

     University of Ulster

     Reino Unido

     
• Localización: Teaching mathematics and its applications, ISSN 0268-3679, Vol. 27, Nº. 2, 2008, págs. 59-65
• Idioma: inglés
• DOI: 10.1093/teamat/hrm021
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.