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function laplace_iter(u, dx2, dy2, Niter, N)
    uout = copy(u)
    for iter = 1:Niter
        for i = 2:N-1
            for j = 2:N-1
                uout[i, j] = ((u[i-1,j]+u[i+1,j])*dy2 +
                              (u[i,j-1]+u[i,j+1])*dx2 ) * (1./(2*(dx2+dy2)))
            end
        end
        u, uout = uout, u
    end
    return u
end

function laplace()
    N = 150
    u = zeros(N, N)
    u[1,:] = 1
    Niter = 2^10
    dx2 = dy2 = 0.1 * 0.1
    u = laplace_iter(u, dx2, dy2, Niter, N)
end

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