Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2 0.282 0.224 F(x) 0.397 0.339
Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2 0.282 0.224 F(x) 0.397 0.339
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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Transcribed Image Text:Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference
Formula:
X 1.7 1.8
0.397 0.339 0.282 0.224
1.9 2
F(x)
Q2/ Fit a second - order polynomial to the data in the following table:
2 0 9
X
5
1
4
Y
2
8
3
4
-1
8
4
Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5)
d'y
+ 2y = 3 ,y (0) = 0, y(2) = 6
Q4/ solve the equation by Newton -Raphson Method:
F(x) = x* - 5x + 65, start at x =2, accuracy =0.001
Q5/ Use Linear Regression to fit the following data:
1
2
3
4
Y
4
10
10
8
63
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