The derivative f'(x0) can be approximated by a five-point formula derived from Lagrange interpolation. One such formula is written down as f'(x0) ≈ 1/12h[−25f(x0) + 48f(x0 + h) − 36f(x0 + 2h) + 16f(x0 + 3h) + af(x0 + 4h)], where a indicates a number that cannot be seen clearly. Determine the number a.
The derivative f'(x0) can be approximated by a five-point formula derived from Lagrange interpolation. One such formula is written down as f'(x0) ≈ 1/12h[−25f(x0) + 48f(x0 + h) − 36f(x0 + 2h) + 16f(x0 + 3h) + af(x0 + 4h)], where a indicates a number that cannot be seen clearly. Determine the number a.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The derivative f'(x0) can be approximated by a five-point formula derived
from Lagrange interpolation. One such formula is written down as
f'(x0) ≈ 1/12h[−25f(x0) + 48f(x0 + h) − 36f(x0 + 2h) + 16f(x0 + 3h) + af(x0 + 4h)],
where a indicates a number that cannot be seen clearly. Determine the number a.
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