Abstract
This paper discusses Burger’s equation to be used in modelling a crowd with traffic approach
using conservation laws and focuses on a moving mesh method that is applied to the solution of
hyperbolic equations. A mesh consists of nodes (points) at specific locations in space that are
connected to form elements. The moving mesh method is developed utilizing monitor functions
to drive the mesh motion and is based on equidistribution ideas. The method is derived in multi
dimensions from a conservation of monitor function principle and from this initial principle a
conservation law for the monitor function is derived. Numerical results for the moving mesh
methods to the Burger’s equation with several values ofe , including when e =0 or inviscid
Burger’ equation is presented.