Linear PDE Models. Part 1

Abstract

Because linear partial differential equations play such an important role in the mathematical description of electromagnetic waves, heat flow, elastic vibrations, and many other scientific phenomena, there is an abundance of wonderful examples that can be solved using computer algebra. For this reason, this topic is split over two chapters. We begin with examples of checking PDE solutions, either obtained by intelligent guessing or quoted, without derivation, in some scientific reference. Diffusion and Laplace’s equation models are then presented.