Consider the multi-step method 5 Yn+1 = Yn ayn-1 +h[bf (tn, Yn) + cf (tn1, Yn1)]...
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Consider the multi-step method 5 Yn+1 = Yn ayn-1 +h[bf (tn, Yn) + cf (tn−1, Yn−1)] for the IVP y'= f(t,y), y(to) = yo. Find a, b and c to obtain the highest order method possible. Is the method stable? Find the inequality that must be satisfied for the method to be stable. Consider the multi-step method 5 Yn+1 = Yn ayn-1 +h[bf (tn, Yn) + cf (tn−1, Yn−1)] for the IVP y'= f(t,y), y(to) = yo. Find a, b and c to obtain the highest order method possible. Is the method stable? Find the inequality that must be satisfied for the method to be stable.
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Related Book For
Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook
ISBN: 9781108407304
1st Edition
Authors: Dean Chalmers, Julian Gilbey
Posted Date:
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