Numerical Methods for Chemical Engineers Using Excel, VBA, and MATLAB

6 Ordinary Differential Equations (Boundary Value Problems)

6.1 INTRODUCTION

So-called boundary value problems (BVPs) occur most often when the system model is a second-order ODE and the known information is available for two different values of the independent variable. For example, consider the following ODE problem:

This problem differs from ODE-IVP since two initial conditions are not given. The two values of the independent variable where information is available are usually at a physical boundary of the system, and the problem is referred ...