Question: 4. Derive the Adams-Bashforth Three step method by the following method. Set Yti = Yt, + ah f(t;, Yt,) + bhf(t;-1, Yt, 1) +

4. Derive the Adams-Bashforth Three step method by the following method. Set

4. Derive the Adams-Bashforth Three step method by the following method. Set Yti = Yt, + ah f(t;, Yt,) + bhf(t;-1, Yt, 1) + chf(t;-2, Yt, 2) Yti+1 (3) by expanding yti419 f(t;-2, Yt;-2) and f(t;-1, Yt;-1) in Taylor series about (ti, yt,) and equate the coefficients of h, h? and h to obtain a, b and c. 4. Derive the Adams-Bashforth Three step method by the following method. Set Yti = Yt, + ah f(t;, Yt,) + bhf(t;-1, Yt, 1) + chf(t;-2, Yt, 2) Yti+1 (3) by expanding yti419 f(t;-2, Yt;-2) and f(t;-1, Yt;-1) in Taylor series about (ti, yt,) and equate the coefficients of h, h? and h to obtain a, b and c.

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