APPLICATION OF PARTIAL DIFFERENTIAL EQUATION IN ENGINEERING

APPLICATION OF PARTIAL DIFFERENTIAL EQUATION IN ENGINEERING

ABSTRACT

The focus is on the wave equation since it has well known properties and it is representative of many types of PDE system. This distinction usually makes PDEs much harder to solve than ODEs but here again there will be simple solution for linear problems. It is well known that PDEs are applicable in areas such as Wave equation, Heat conduction, Laplace equation, Electrostatics, Electrodynamics, Fluid flow, Machines and in various areas of science and engineering.

CHAPTER ONE

GENERAL INTRODUCTION

Background of Study

In mathematics a Partial Differential Equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives (A special Case are ordinary differ entail equations. PDEs are used to formulate problem involving function of several variable and are either solved by hand or used to create a relevant computer model.(Evans L.C) [8]

PDEs are equation that involves rate of change with respect to continues variable. The position of a rigid body is specified by six number, but the configuration of a fluid is given by the continuous distribution of several parameter, such as the temperature, pressure and so forth.(Jost.J.)[18]

Lewy, Hans [16] also suggested that the dynamics for the fluid occur in an infinite-dimensional configuration space. This distinction usually makes PDEs much harder to solve than Ordinary Differential Equation (ODEs) but here again there will be simple solution for linear problems. Continue reading APPLICATION OF PARTIAL DIFFERENTIAL EQUATION IN ENGINEERING