Approximate the solution to the wave equation: 1 ô’u (x,t)- 16r? a (x,t)=0 for 0< x < 0.5 and t>0 167' ôx? u(0,t)= u(0.5,t)= 0 for t>0 subject to {u(x,0)= 0 for 0 < x <0.5 | ôu (x,0)= sin 47x for 0 < x<0.5 ốt using the Finite-Difference Method with h = k = 0.125 and compare your results to the actual solution u(x, t) = sin(t) sin(4nx) at t = 0.5.

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