Civil Engineering > GATE 2020 SET-1 > Numerical Methods
A continuous function f(x) is defined. If the third derivative at xi is to be computed by using the fourth order central finite-divided-difference scheme (with step length = h), the correct formula is
A
f'''(xi) = (-f(xi+3) + 8f(xi+2) - 13f(xi+1) + 13f(xi-1) - 8f(xi-2) + f(xi-3)) / 8h3
B
f'''(xi) = (f(xi+3) - 8f(xi+2) - 13f(xi+1) + 13f(xi-1) + 8f(xi-2) + f(xi-3)) / 8h3
C
f'''(xi) = (-f(xi+3) - 8f(xi+2) - 13f(xi+1) + 13f(xi-1) + 8f(xi-2) - f(xi-3)) / 8h3
D
f'''(xi) = (f(xi+3) - 8f(xi+2) + 13f(xi+1) + 13f(xi-1) - 8f(xi-2) - f(xi-3)) / 8h3

Correct : a

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