3. Find the most accurate finite difference formula and the corresponding leading error term for the following derivatives: (b) f(iv) (x) (c) f(x) - 3f'(x) to the highest order of accuracy possible using only the following function values. i fi-2, fi-1, fi, fi+1, and fi+2 ii fi, fi+1, fi+2, fi+3, and fi+4 iii fi-4, fi-3, fi-2, fi-1, and fi iv fi-1, fi, fi+1, fi-1, fi, and fi+1
3. Find the most accurate finite difference formula and the corresponding leading error term for the following derivatives: (b) f(iv) (x) (c) f(x) - 3f'(x) to the highest order of accuracy possible using only the following function values. i fi-2, fi-1, fi, fi+1, and fi+2 ii fi, fi+1, fi+2, fi+3, and fi+4 iii fi-4, fi-3, fi-2, fi-1, and fi iv fi-1, fi, fi+1, fi-1, fi, and fi+1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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