Chapter 2
Wave PDE

 2.1 Homogeneous Wave PDE in 1D on finite domain (plugged string) series solutions
  2.1.1 Both ends of string fixed, initial position zero, Fourier series solution
  2.1.2 Both ends of string fixed, initial velocity zero, Fourier series solution
  2.1.3 Both ends of string fixed, initial velocity zero, d’Alembert solution
  2.1.4 Left end fixed, right end free, initial velocity zero, Fourier series solution
  2.1.5 Left end fixed, right end free. Initial velocity zero. Damping present.
  2.1.6 Both ends fixed. Initial velocity zero. Dispersion term present.
  2.1.7 Both ends fixed. Initial velocity zero. Telegraphy PDE (dispersion and decay)
 2.2 Homogeneous Wave PDE in 1D, semi-infinite domain, no source
  2.2.1 Left end free, initial velocity zero
  2.2.2 Left end fixed, initial velocity zero
 2.3 Wave PDE in 1D, infinite domain, D’Alembert solution
  2.3.1 Initial velocity zero case
 2.4 Homogeneous Wave PDE in 2D. No source
  2.4.1 Rectangular membrane. Fixed on all edges
  2.4.2 circular membrane, no circular symmetry, example 1
  2.4.3 circular membrane, no circular symmetry, specific problem from exam
  2.4.4 circular membrane, with circular symmetry
 2.5 Solitons wave animation (non-linear wave PDE)
 2.6 Wave PDE with inhomogeneous boundary conditions, 1D (string)