ABSTRACT
This chapter illustrates some of the techniques that are used to solve the equations. It shows that there is no additional simulation strategies required for partial differential equations than were already delineated for initial-value and for ordinary boundary-value problems. The chapter demonstrates that the use of the finite-difference techniques as they are applied to the simulation of partial differential equations. Partial differential equations occur most frequently when one is modelling physical phenomena in the real three-dimensional world of engineering and physics. All the theoretical development has been done to model partial differential equations by finite differences. The optimum spacing refers to only the finite-difference model that was chosen to simulate the differential equation. The techniques are scalar in nature and therefore only one equation is required for describing a physical process which requires an equation for each coordinate direction.
