Wave equation
The vertical displacement u(x,t) of the vibrating string of length L is determined from
utt(x,t)=a2 uxx(x,t), 0<x<L, t>0;
u(0,t)=0, u(L,t)=0, t>0;
u(x,0)=f(x), ut(x,0)=g(x), 0<x<L.
Things to try:
- Change the initial conditions u(x,0)=f(x) and ut(x,0)=g(x).
- Increase n, the number of terms in the solution.
- Change the length L.