NUMERICAL METHODS ON TRAFFIC FLOW

Abstract

To address initial value issues, we use Euler's approach and the Runge-Kutta method in this thesis. The project's purpose is to compare the two methodologies on preliminary problems, highlighting their limitations and benefits. We also use the Runge-Kutta method as a way for creating a mathematical traffic flow model. The purpose of this thesis is to shed light on how The Optimal Velocity Model is solved using the fourth-order Runge-Kutta method. To execute simulations of the model, we select beginning conditions and base cases. To validate the usage of the two - fourth-order Runge-Kutta method , Optimal Velocity Model, we consider a few examples with one-car ,two-car systems.