Find the interpolating polynomial to the function f (x)= In(x +1)+sinx at x – 0, 1, 2, 3, 4, 5 using: (i) Newton forward interpolation formula (ii) Newton backward Interpolation formula Draw the graphs of the original function and the interpolating polynomial and mark the error with color.
Find the interpolating polynomial to the function f (x)= In(x +1)+sinx at x – 0, 1, 2, 3, 4, 5 using: (i) Newton forward interpolation formula (ii) Newton backward Interpolation formula Draw the graphs of the original function and the interpolating polynomial and mark the error with color.
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:Find the interpolating polynomial to the function f (x)=ln(x +1)+ sinx at x – 0, 1,
2, 3, 4, 5 using:
(i) Newton forward interpolation formula
(ii) Newton backward Interpolation formula
Draw the graphs of the original function and the interpolating polynomial and mark the
error with color.
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