Show that the difference method w0 = , wi+1 = wi + a1f (ti, wi) + a2f (ti + 2, w1 + 2f
Chapter 5, Problem 30(choose chapter or problem)
Show that the difference method w0 = , wi+1 = wi + a1f (ti, wi) + a2f (ti + 2, w1 + 2f (ti, wi)), for each i = 0, 1, ... , N 1, cannot have local truncation error O(h3) for any choice of constants a1, a2, 2, and 2.
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