Find the stability function and the stability region

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Reference no: EM131321400

Exercice 1 : We consider the ODE y 0 = f(y, t), y(0) = y0 within the time-interval [0, T] : The multi-step method scheme presented in the slides note is given by yn+2 = yn + ?t 3 (f(yn, tn) + 4f(yn+1, tn+1) + f(yn+2, tn+2)), for a constant ?t = tn+2 - tn+1 = tn+1 - tn = ....

1. By considering the LTE, deduce the order of convergence of that scheme.

2. Find the stability function and the stability region of that scheme.

Reference no: EM131321400

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