Hey everyone,
I have a question about implementing the following problem:
[tex]u_{xx} - u_{tt} = 0[/tex]
on the unit square
[tex]x,t \in [0,1][/tex]
subjected to the boundary condition
[tex]u(0,t) = 0 \\ u(1,t) = 0 \\ u(x,0) = 0 \\ u_{t}(x,0) = \pi sin(\pi x)[/tex]
I do know how to specify the 0 boundary condition on its own. However, I am struggling with setting the starting velocity and the Dirichlet condition on the same edge. Is there a way to do that?