Find oscillations of a vibrating string by solving the 1-D wave equation
(1/v^2)(d^2 u/dt^2) - (d^2 u/dx^2) = 0
for u(x,t) in the interval -1<=x<=1 and t>0
with initial conditions
u(x,0) = (1- abs(x))/2
and
du/dt @ t=0
and boundary conditions u(-1,t)=u(1,t)=0
Plot u(x,t) at different points in time t.
Question: How do I go about this and how do I use sage to solve this.
Thanks.