Suppose f'"(x) = N,(h) + a,h + azh³ + azh5 + …. The value of N2(h) using Richardson's extrapolation is: N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^4) 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)
Suppose f'"(x) = N,(h) + a,h + azh³ + azh5 + …. The value of N2(h) using Richardson's extrapolation is: N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^4) 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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve this two exercise
Transcribed Image Text:Suppose f''(x) = N,(h) + a,h + azh³ + azh³ + ….
The value of N2(h) using Richardson's extrapolation is:
N2 (h)=(4N1(h/2)-N1 (h))/3 with error
of order O(h^4)
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)
Transcribed Image Text:Use Romberg integration to compute R3.3 for the following integral
x tanx dx
0.30117
0.41346
0.42867
0.38177
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