Publication Date

1-30-2013

Abstract

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.

Degree Name

Mathematics

Level of Degree

Masters

Department Name

Mathematics & Statistics

First Advisor

Korotkevich, Alexander

First Committee Member (Chair)

Appelo, Daniel

Second Committee Member

Coutsias, Evangelos

Third Committee Member

Sulsky, Deborah

Language

English

Keywords

Traffic flow--Mathematical models, Hydrodynamics--Mathematical models, Differential equations, Partial--Numerical solutions.

Document Type

Thesis

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