A Mathematical Model and Numerical Simulations of Traffic Flow Problems

Sammanfattning: This report consists of three main parts. The first part explores how the density of traffic on a road can be mathematically modeled as a partial differential equation: a relation between a function and its derivatives. The second part describes an algorithm which can find a numerical solution for the differential equation. This algorithm is used in the third part of the report where simulations are run in order to study the effects of traffic lights on traffic.