MATH 542 NUMERICAL SOLUTIONS TO DIFFERENTIAL EQUATIONS

INTRODUCTION

Ordinary Differential Equations

    Initial Value Problems
        Existence and Uniqueness Thm.

    Boundary Values Problems

    First Order Equations
        Gradient Fields  MATLAB CODE

    Higher Order Equations
        Reduction to First Order Systems and Standard Form
        Autonomous Systems  MATLAB CODE

Partial Differential Equations

    First Order
        Simple Example  MATLAB CODE    

        Quasi Linear Traffic Model w/o shock  MATLAB CODE  
            with shock   MATLAB CODE   

    Second Order
        Elliptic(Laplace's Eq.), Parabolic(Heat Eq.) and Hyerbolic(Wave Eq.)

Revised 12/06/04
By Don Short, dshort@sciences.sdsu.edu