Solved: The modified Euler formula for the initial value problem y = f(t, y), y(t0) = y0
Chapter 8, Problem 22(choose chapter or problem)
The modified Euler formula for the initial value problem y = f(t, y), y(t0) = y0 is given by yn+1 = yn + hf[tn + 1 2h, yn + 1 2hf(tn, yn)]. Following the procedure outlined in 14, show that the local truncation error in the modified Euler formula is proportional to h3
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