E2: Using the following data, find the fourth degree interpolating polynomial using Newton's Backward Difference f(X;) Vf(X) V²f(X) V*f(X;) V*f(X;) -2 1 -4 -1 1 -4 10 2 -3 6. 1 -1 -1 -2 Since, Xn - Xn-1 = h 2-1 = 1 h = 1 r=x- 2 1 r = X- X h 2. AA AA

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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E2: Using the following data, find the fourth degree
interpolating polynomial using Newton's Backward
Difference
f(X;)
Vf(X)
V²f(X)
V*f(X;)
V*f(X;)
-2
1
-4
-1
1
-4
10
2
-3
6.
1
-1
-1
-2
Since, Xn - Xn-1 = h
2-1 = 1
h = 1
r=x- 2
1
r = X- X
h
2.
AA AA
Transcribed Image Text:E2: Using the following data, find the fourth degree interpolating polynomial using Newton's Backward Difference f(X;) Vf(X) V²f(X) V*f(X;) V*f(X;) -2 1 -4 -1 1 -4 10 2 -3 6. 1 -1 -1 -2 Since, Xn - Xn-1 = h 2-1 = 1 h = 1 r=x- 2 1 r = X- X h 2. AA AA
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