(d) of degree at most two to approximate f. Use cos (0.6) = 0.8 and cos (0.9) = 0.6. (construct the divided difference table as well) Use divided difference to construct the Newton's divided difference interpolation polynomial
(d) of degree at most two to approximate f. Use cos (0.6) = 0.8 and cos (0.9) = 0.6. (construct the divided difference table as well) Use divided difference to construct the Newton's divided difference interpolation polynomial
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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Only Part D
Transcribed Image Text:Question 4 (
(a) (
most two to approximate f. Use cos (0.6) = 0.8 and cos (0.9) = 0.6.
Let f(x) = cos x, xo = 0, xı = 0.6 and x2 = 0.9.
Use cardinal/base functions to construct the Lagrange interpolation polynomial of degree at
(b) ,
Use the Theorem of the course to find an error bound for the approximation.
Transcribed Image Text:Use Neville's method to construct the Lagrange interpolation polynomial of degree at most
(c)
two to approximate f. Use cos (0.6) = 0.8 and cos (0.9) = 0.6. (construct the Neville's table as well)
(d)
of degree at most two to approximate f. Use cos (0.6)
difference table as well)
Use divided difference to construct the Newton's divided difference interpolation polynomial
= 0.8 and cos (0.9) = 0.6. (construct the divided
%3D
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