a) i) the two-point forward difference formula gives f'(xo) × ii) the absolute error in this approximation is

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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Let f(x) = sin(x) , x0 = 0,5 and h = 0,2

a) i) the two-point
forward difference
formula gives f'(xo) ~
ii) the absolute error
in this approximation
is
b) i) the two-point
backward difference
formula gives f'(xo) ~
ii) the absolute error
in this approximation
is
Transcribed Image Text:a) i) the two-point forward difference formula gives f'(xo) ~ ii) the absolute error in this approximation is b) i) the two-point backward difference formula gives f'(xo) ~ ii) the absolute error in this approximation is
c) i) the two-point
central difference
formula gives f'(xo) 2
ii) the absolute error
in this approximation
is
d) i) the three-point
central difference
formula gives
f"(xo) ×
ii) the absolute error
in this approximation
is
Transcribed Image Text:c) i) the two-point central difference formula gives f'(xo) 2 ii) the absolute error in this approximation is d) i) the three-point central difference formula gives f"(xo) × ii) the absolute error in this approximation is
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