Suppose f"(x) = N,(h) + a,h + a,h³ + azh³ + ... %3D The value of N(h) using Richardson's extrapolation is: N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^3) N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2 ) N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^2 ) N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^4 )

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Suppose f'"(x) = N,(h) + a,h + azh³ + azh5 + ….
The value of N,(h) using Richardson's extrapolation is:
N2 (h)=2N1 (h/2)-N1 (h) with error
of order O(h^3)
N2 (h)=2N1 (h/2)-N1 (h) with error
of order 0O(h^2)
N2 (h)=(4N1(h/2)-N1 (h))/3 with
error of order O(h^2 )
N2 (h)=(4N1(h/2)-N1 (h))/3 with
error of order O(h^4 )
Transcribed Image Text:Suppose f'"(x) = N,(h) + a,h + azh³ + azh5 + …. The value of N,(h) using Richardson's extrapolation is: N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^3) N2 (h)=2N1 (h/2)-N1 (h) with error of order 0O(h^2) N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^2 ) N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^4 )
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