Suppose f"(x) = N,(h) + a,h + azh³ + azh5 + .. The value of N2(h) using Richardson's extrapolation is: N2 (b) -2N1 (h/2) I1 (h) with or

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose f"(x) = N4(h) + a,h + a,h³ + azh5 + .….
The value of N2(h) using Richardson's extrapolation is:
N2 (h)=2N1 (h/2)-N1 (h) with error
of order O(h^2)
N2 (h)=2N1 (h/2)-N1 (h) with error
of order O(h^3)
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) = N4(h) + a,h + a,h³ + azh5 + .…. The value of N2(h) using Richardson's extrapolation is: N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2) N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^3) 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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