2=1.4. (d) Use the second derivative mid-point formula to find the most accurate value for at
2=1.4. (d) Use the second derivative mid-point formula to find the most accurate value for at
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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Question
NUMERICAL ANALYSIS/ please solve part (d)
![3. 1 Consider the following data:
1.3
1.35
1.45
1.5
1.55
g(x)5.0376 5.4265
5.8472) 6.3020 6.7933) 7.3236
(a) Use the three point end-point formula g'(ro) =
with h = 0.1 to approximate g' (1.5).
|-39(x0)+4g(ro+h)-g(ro+2h)]
(b) Use the three point mid-point formula g'(ro) 19(ro+ h) - g(xo- h)] with h = 0.05
to approximate g'(1.5).
(c) Use the answers to part (a) and (b) and the Richardson's extrapolation method to find
O(h) approximation to g'(1.5).
(d) Use the second derivative mid-point formula to find the most accurate value for
T = 1.4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a399ca2-ca03-4700-a442-b901b7bf1c54%2Fdc1fca1d-aa24-41c9-af8e-782d408c006b%2Fimyvc9s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. 1 Consider the following data:
1.3
1.35
1.45
1.5
1.55
g(x)5.0376 5.4265
5.8472) 6.3020 6.7933) 7.3236
(a) Use the three point end-point formula g'(ro) =
with h = 0.1 to approximate g' (1.5).
|-39(x0)+4g(ro+h)-g(ro+2h)]
(b) Use the three point mid-point formula g'(ro) 19(ro+ h) - g(xo- h)] with h = 0.05
to approximate g'(1.5).
(c) Use the answers to part (a) and (b) and the Richardson's extrapolation method to find
O(h) approximation to g'(1.5).
(d) Use the second derivative mid-point formula to find the most accurate value for
T = 1.4.
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