Approximate the solution to the wave equation
∂2u / ∂t2 − ∂2u / ∂x2 = 0, 0 < x < 1, 0 < t;
u(0, t) = u(1, t) = 0, 0 < t,


∂u / ∂t (x, 0) = 0, 0 ≤ x ≤ 1.
using Algorithm 12.4 with h = 0.1 and k = 0.1.