ompute f(1.5) from the following data using Newton's Divided Difference Formula (NDDF) at xo= 0 -2 -1 0.5 1.5 3 f(x) 49 26 8.375 34.125 174

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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c. Compute f(1.5) from the following data using Newton’s Divided Difference Formula (NDDF) at x0= 0

 

formula is given

ompute f(1.5) from the following data using Newton's Divided Difference Formula (NDDF) at xo= 0
-2
-1
0.5
1.5
3
f(x)
49
26
8.375
34.125
174
Transcribed Image Text:ompute f(1.5) from the following data using Newton's Divided Difference Formula (NDDF) at xo= 0 -2 -1 0.5 1.5 3 f(x) 49 26 8.375 34.125 174
I.
NEWTON'S DIVIDED DIFFERENCE FORMULA (NDDF)
f(x) = f(xo) + (x – xo)f(xo, x1) + (x– xo)(x- x1)f(xo, x1, x2) +
%3D
+ (x — хо(x — х).. (х — х,lf{xо, х1.......)
- 1* divided difference (A)
- 2nd divided difference (A?)
- nth divided difference (A")
NOTE:
f(Xo, X1)
f(Xo, X1, X2)
f(x0, х1,
xn)
Transcribed Image Text:I. NEWTON'S DIVIDED DIFFERENCE FORMULA (NDDF) f(x) = f(xo) + (x – xo)f(xo, x1) + (x– xo)(x- x1)f(xo, x1, x2) + %3D + (x — хо(x — х).. (х — х,lf{xо, х1.......) - 1* divided difference (A) - 2nd divided difference (A?) - nth divided difference (A") NOTE: f(Xo, X1) f(Xo, X1, X2) f(x0, х1, xn)
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