We examine the solution to the system of partial differential equations for the transport and continuity equations. The model for our system of equations closely resembles the Payne-Whitham model for traffic flow. The solution can be approximated closely through the method of finite differencing. We approach this approximation of the solution through computer simulation in Matlab.
Level of Degree
Mathematics & Statistics
First Committee Member (Chair)
Second Committee Member
Third Committee Member
Traffic flow--Mathematical models, Hydrodynamics--Mathematical models, Differential equations, Partial--Numerical solutions.
VanderPloeg, Craig. "Numerical simulation of traffic flow using a hydrodynamic model." (2013). https://digitalrepository.unm.edu/math_etds/50