Question: Derive the Adams-Bashforth Three-Step method by the following method. Set y(ti+1) = y(ti) + ahf (ti , y(ti)) + bhf (ti1, y(ti1)) + chf (ti2,

Derive the Adams-Bashforth Three-Step method by the following method. Set y(ti+1) = y(ti) + ahf (ti , y(ti)) + bhf (ti−1, y(ti−1)) + chf (ti−2, y(ti−2)).
Expand y(ti+1), f (ti−2, y(ti−2)), and f (ti−1, y(ti−1)) in Taylor series about (ti , y(t=)), and equate the coefficients of h, h2 and h3 to obtain a, b, and c.

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