ABSTRACT
This chapter describes computer modeling of solutions to a few fundamental equations from mathematical physics. It discusses one-dimensional versions of the heat equation, the wave equation, and the Schrodinger wave equation for an enclosed, freely moving particle. The chapter examines some of the modifications of Fourier series that are used in signal processing. It presents computer modeling of a simple problem in heat conduction. The chapter also describes the computer modeling of solutions to the problem of describing the motion of a vibrating string. Filter factors were time dependent. The chapter provides some of the common time-independent filters, most of which are used in signal processing. It shows how Gibbs' phenomenon and other aspects of Fourier series partial sums can be analyzed by using the convolution form of partial sums.
