Suppose f" (x) – N, (h) + a, h? + a,h' + azh® + …The value of N,(h) using Richardson's extrapolation isON2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2)O N2 (n)-2N1 (h/2) NI (h) with error of order O(h)O N2 (h)-(4N1(h/2)-N1 (h))/8 with error of order O(h^2)O N2 (h)-(4N1(h/2)-N1 (1)/3 with error of order O(h^4 )

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Suppose f" (x) = N, (h) + a,h? + azh“ + azh° + •* The value of N,(h) using Richardson's extrapolation is: N2 (h)=2N1 (h/2)-N1 (h) with error of order 0(h^2 ) O N2 (h)=2N1 (h/2) N1 (h) with error of order O(h) O N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^2 ) O N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^4 )