Question: The question asks to modify the following code. This question is about using the four-step Adams-Bashforth and Adams-Moulton methods in PECE mode to estimate y(10)

The question asks to modify the following code.

The question asks to modify the following code. This question is about

This question is about using the four-step Adams-Bashforth and Adams-Moulton methods in PECE mode to estimate y(10) for IVP1. (a) Modify the following function so that it performs N steps of the Adams-Bashforth-Moulton combination in PECE mode. function [x, y] = ab4 (x, y, h, N) % The first 3 steps are taken using a four-stage explicit %Runge-Kutta method for i = l: 3 kl = fn(x, y): k2 = fn(x + 0.5 * h, y + 0.5 * h * kl): k3 = fn(x + 0.5 * h, y+ 0.5 *h * k2): k4 = fn(x + h, y + h * k3): y = y + h/6 * (kl + 2 * k2 + 2 * k3 + k4): x = x + h: f(:, i) = kl: end f(:, 4) = fn(x, y): % Now do the rest of the steps using the four-step %Adams Bashforth for i=4: N y = y + h/24*(55*f(:, 4)-59*f(:, 3)+37*f(:, 2)-9*f(:, 1)): x = x + h: f(:, 1) = f(:, 2): f(:, 2) = f(:, 3): f(:, 3) = f(:, 4): f(:, 4) = fn(x, y): end

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