Numerical Analysis, 1/e

10

Boundary Value Problems in Ordinary and Partial Differential Equation

10.0 INTRODUCTION

The areas of applications of partial differential equations is too large compared to ordinary differential equations. Partial differential equations occur especially in problems involving wave phenomena and heat conduction. In practical problems we seek to obtain unique solution of ordinary and partial differential equations subject to certain specific conditions which are called boundary value conditions. The differential equation with boundary value conditions is called a boundary-value problem.

For a differential equation when conditions are prescribed at the same point, we call them as initial conditions. When conditions are prescribed at different ...