9: Fourier Solutions of Partial Differential Equations
- Page ID
- 43344
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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 \(u_t = a^2u_{xx}\), which arises in problems of conduction of heat
- 9.2: The Wave Equation
- This section deals with the partial differential equation \(u_{tt} = a^2u_{xx}\), which arises in the problem of the vibrating string.