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