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   2∂2u
∂t2 = c ∂x2   for x ≥ 0,t ≥ 0  with initial conditions         {
           1  4 ≤ x ≤ 5
u (x,0) =   0  otherwise  and ∂u(x,0)= 0
  ∂t  and boundary condition ∂u(0,t)= 0
 ∂x  .

  

5.2 Dirichlet boundary conditions at x = 0

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