GATE 2024 Civil Engineering Q13

Question

The second derivative of a function f is computed using the fourth-order Central Divided Difference method with a step length h.
The CORRECT expression for the second derivative is

Accepted Answer

$\frac{1}{12h^2} [-f_{i+2} + 16 f_{i+1} – 30 f_i + 16 f_{i-1} – f_{i-2}]$

Answer

$\frac{1}{12h^2} [f_{i+2} + 16 f_{i+1} – 30 f_i + 16 f_{i-1} – f_{i-2}]$

Answer

$\frac{1}{12h^2} [-f_{i+2} + 16 f_{i+1} - 30 f_i + 16 f_{i-1} + f_{i-2}]$

Answer

$\frac{1}{12h^2} [-f_{i+2} - 16 f_{i+1} + 30 f_i – 16 f_{i-1} – f_{i-2}]$