Suppose f'"(x) = N,(h) + a,h + azh² + azh³ + ….The value of N2(h) using Richardson's extrapolation is:N2 (h)=(4N1(h/2)-N1 (h))/3 witherror of order O(h^4 )N2 (h)=2N1 (h/2)-N1 (h) with errorof order O(h)N2 (h)=2N1 (h/2)-N1 (h) with errorof order O(h^2)N2 (h)=(4N1(h/2)-N1 (h))/3 witherror of order O(h^2 ) Suppose that the values of a smooth function f is known for x=0, 0.3, 0.6 and 1.2. Select the3- point numerical differentiation scheme that will best approximate f'(0.6).Backward difference with h=0.6Forward difference with h=0.3Forward difference with h=0.6Backward difference with h=0.3

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Answered: Suppose f"(x) = N¿(h) + a,h + azh² +…

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Suppose f"(x) = N¿(h) + a,h + azh² + azh³ + -· The value of N½(h) using Richardson's extrapolation is:

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Question

Suppose f'"(x) = N,(h) + a,h + azh² + 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)
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 that the values of a smooth function f is known for x=0, 0.3, 0.6 and 1.2. Select the
3- point numerical differentiation scheme that will best approximate f'(0.6).
Backward difference with h=0.6
Forward difference with h=0.3
Forward difference with h=0.6
Backward difference with h=0.3

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