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= 0-2-10.51.53f(x)49268.37534.125174 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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Answered: ompute f(1.5) from the following data…

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

Section: Chapter Questions

Problem 1RQ

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Question

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

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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