Numerical Simulation Based on First Order Difference Scheme for Three Lanes Traffic Flow Model

Abstract

In this article performs the numerical solution of a three lanes traffic flow model based on a linear velocity-density relationship is studied. A multilane traffic flow with three lanes which is moderated by a system of nonlinear partial differential equation appended with initial and boundary conditions reads as an initial boundary value problem (IBVP). In order to compute the numerical solution, we present the discretization of the considered model which leads to the explicit upwind difference scheme. The numerical simulation of 10km highway of three lanes is performed for 6 minutes using the explicit upwind difference scheme based on artificially generated initial and boundary data. An experimental result for the stability condition of the numerical scheme is also presented by performing numerical experiments. The computed result satisfies some well known qualitative features of the solution