Given the multistep method wi+1 = 3/2 wi + 3wi1 - 1/2 wi2 + 3hf (ti ,wi),

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Given the multistep method
wi+1 = −3/2 wi + 3wi−1 - 1/2 wi−2 + 3hf (ti ,wi), for i = 2, . . . , N − 1,
with starting values w0, w1, w2:
a. Find the local truncation error.
b. Comment on consistency, stability, and convergence.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:47 AM

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Given the multistep method wi+1 = 3/2 wi + 3wi1 - 1/2 wi2 + 3hf (ti ,wi),

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Numerical Analysis

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