One of the popular 3-point numerical differentiation formula is given by -3f(xo)+ 4f(0 +h) - f(xo+ 2h) f'(r0) 2h

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q5
4.
s Consider the following table of values of f(x) = e".
0.0
0.2
0.6
f(x) 1.0
1.22140
1.82212
(a) Approximate f(0.5) using the given data and the Newton forward divided differ-
ence formula.
(b) Find the best upper bound for the error of the approxiination in (a).
5.
AOne of the popular 3-point numerical differentiation formula is given by
-3f(co) +4f(o +h) - f(xo+ 2h)
2h
Transcribed Image Text:4. s Consider the following table of values of f(x) = e". 0.0 0.2 0.6 f(x) 1.0 1.22140 1.82212 (a) Approximate f(0.5) using the given data and the Newton forward divided differ- ence formula. (b) Find the best upper bound for the error of the approxiination in (a). 5. AOne of the popular 3-point numerical differentiation formula is given by -3f(co) +4f(o +h) - f(xo+ 2h) 2h
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