Question: (c) Solve the same equation again, this time using the implicit method given in Section 11.2.2 based on the backward Euler method. Again use A3:

 (c) Solve the same equation again, this time using the implicit

(c) Solve the same equation again, this time using the implicit method given in Section 11.2.2 based on the backward Euler method. Again use A3: = 0.05, but try a much larger time step, say, At = 0.005 to advance the solution from t = 0 to t = 0.06. Plot the solution at each time step. How do the results compare with those in parts a and b? Explain. (d) Solve the same equation again, this time using the CrankNicolson method given in Section 11.2.2. Again use AI: = 0.05 and At = 0.005 to advance the solution from t = 0 to t = 0.06. Plot the solution at each time step. How do the results compare with your previous results? Explain

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