Suppose f"(x) = N (h) + a,h + azh2 + azh + -. The value of N½(h) using Richardson's extrapolation is: N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order 0(h^4) O N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h*2) O N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h) O N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2) Page 2 of 2 Back Submit

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose f" (x) = N(h) + a,h+ azh2 + azh + -
...
The value of N½(h) using Richardson's extrapolation is:
N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order 0(h^4)
O N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h*2)
O N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h)
O N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2)
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Transcribed Image Text:Suppose f" (x) = N(h) + a,h+ azh2 + azh + - ... The value of N½(h) using Richardson's extrapolation is: N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order 0(h^4) O N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h*2) O N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h) O N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2) Page 2 of 2 Back Submit
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