A finite difference approximation to the Laplace equation for a function ujk defined for integers 0 ≤ j ≤ 3, 0 ≤ k ≤ 3 is uj, k = 1 4 (uj+1,k + uj−1,k + uj, k+1 + uj, k−1) We seek a solution to the Dirichlet problem with u2,0 = 16 and u3,1 = u3,2 = 8 and uj, k = 0 at all other boundary points. Find an approximate solution by Jacobi iteration starting with uj, k = 0 at interior points. Carry out at least 3 iterations.