Question: Suppose that i = -3u, with u(0) = 4. %3D Use the backward Euler method with a step size of h = 0.03 to

Suppose that i = -3u, with u(0) = 4. %3D Use the

Suppose that i = -3u, with u(0) = 4. %3D Use the backward Euler method with a step size of h = 0.03 to approximate u(0.06) and find the error in your approximation. Start again with a timestep of h = 0.01 and calculate a new approximation to u(0.06). Find the error in this approximation. What does the size of the two error terms suggest concerning the order of convergence of the backward Euler method?

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