ABSTRACT

INTRODUCTION Partial differential equations (PDEs) arise in all fields of engineering and science. Most real physical processes are governed by partial differential equations. In many cases, simplifying approximations are made to reduce the governing PDEs to ordinary differential equations (ODEs) or even to algebraic equations. However, because of the ever increasing requirement for more accurate modeling of physical processes, engineers and scientists are more and more required to solve the actual PDEs that govern the physical problem being investigated. Part III is devoted to the solution of partial differential equations by finite difference methods.