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
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
The CORRECT expression for the second derivative is
Updated On: Feb 3, 2026
- c
- \(\frac{1}{12h^2}[f_{i+2}+16f_{i+1}-30f_i+16f_{i+1}-f_{i-2}]\)
- \(\frac{1}{12h^2}[-f_{i+2}+16f_{i+1}-30f_i+16f_{i+1}+f_{i-2}]\)
- \(\frac{1}{12h^2}[-f_{i+2}-16f_{i+1}+30f_i-16f_{i-1}-f_{i-2}]\)
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The Correct Option is A
Solution and Explanation
The correct option is (A) : \(\frac{1}{12h^2}[-f_{i+2}+16f_{i+1}-30f_i+16f_{i+1}-f_{i-2}]\).
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