5 Homogeneous Wave PDE in 1D, semi-infinite domain

 5.1 Neumann boundary conditions at x = 0
 5.2 Dirichlet boundary conditions at x = 0

5.1 Neumann boundary conditions at x = 0

(10) This is animation of solution of ∂2u-= c2∂2u
∂t2     ∂x2   for x ≥ 0,t ≥ 0  with initial conditions         {
u(x,0) =   1 4 ≤ x ≤ 5
           0 otherwise  and ∂u(∂x,t0)= 0  and boundary condition ∂u∂(0x,t)= 0  .

  

5.2 Dirichlet boundary conditions at x = 0

This is the same problem as above, but with u(0,t) = 0