2=1.4. (d) Use the second derivative mid-point formula to find the most accurate value for at

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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.
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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