f. Compute f(1.68) from the following data using Forward Newton-Gauss Interpolation Formula (FNGIF) at x0= 1.55 1.5 1.55 1.6 1.65 1.7 f(x) 4.375 4.823875 5.296 5.72125 6.313

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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f. Compute f(1.68) from the following data using Forward Newton-Gauss Interpolation Formula (FNGIF) at x0= 1.55

 

formula given

f.
Compute f(1.68) from the following data using Forward Newton-Gauss Interpolation Formula (FNGIF) at x0= 1.55
1.5
1.55
1.6
1.65
1.7
f(x)
4.375
4.823875
5.296
5.72125
6.313
Transcribed Image Text:f. Compute f(1.68) from the following data using Forward Newton-Gauss Interpolation Formula (FNGIF) at x0= 1.55 1.5 1.55 1.6 1.65 1.7 f(x) 4.375 4.823875 5.296 5.72125 6.313
V.
FORWARD NEWTON - GAUSS INTERPOLATION FORMULA (FNGIF)
r(r-1)82fo +
(r+ 1)r(r -1)(r -2) 84fo +
f(x) = fo + rdf1/2 +
2!
(r+1)r(r - 1)
-8³f1/2 +
3!
4!
(r+ 2)(r + 1)r(r - 1)(r- 2)
8°f1/2 +
5!
Where:
x- Xo
r =
h
Transcribed Image Text:V. FORWARD NEWTON - GAUSS INTERPOLATION FORMULA (FNGIF) r(r-1)82fo + (r+ 1)r(r -1)(r -2) 84fo + f(x) = fo + rdf1/2 + 2! (r+1)r(r - 1) -8³f1/2 + 3! 4! (r+ 2)(r + 1)r(r - 1)(r- 2) 8°f1/2 + 5! Where: x- Xo r = h
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