For the Adams-Bashforth and Adams-Moulton methods of order four, a. Show that if f = 0, then

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For the Adams-Bashforth and Adams-Moulton methods of order four,
a. Show that if f = 0, then
F(ti , h,wi+1, . . . ,wi+1ˆ’m) = 0.
b. Show that if f satisfies a Lipschitz condition with constant L, then a constant C exists with
|F(ti, h, wi+1..... Wi+l-m) – F(li, h, vi+1..... Vi+l-m)| <C lwi+l-j - Vi+l-jl.
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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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