Resumen de Matrix solution of coupled differential equations and looped car following models

Mark McCartney

• 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.