9: Fourier Solutions of Partial Differential Equations
( \newcommand{\kernel}{\mathrm{null}\,}\)
In this chapter, we use the series discussed in Chapter 11 to solve partial differential equations that arise in problems of mathematical physics.
- 9.1: The Heat Equation
- This section deals with the partial differential equation ut=a2uxx, which arises in problems of conduction of heat
- 9.2: The Wave Equation
- This section deals with the partial differential equation utt=a2uxx, which arises in the problem of the vibrating string.