a) i) the two-point forward difference formula gives f'(xo) × ii) the absolute error in this approximation is
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
Problem 1RQ
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d23c93b-870e-4ad1-8eae-60e3d2381ea8%2F6bcd0956-9c24-4599-b9a4-122838913049%2Fwrdufv_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d23c93b-870e-4ad1-8eae-60e3d2381ea8%2F6bcd0956-9c24-4599-b9a4-122838913049%2Fu454ix_processed.jpeg&w=3840&q=75)
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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