Answered: calculate f(4.0) using: x 0.50…

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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calculate f(4.0) using:
x 0.50 1.50 2.50 3.57 4.50
f (x) 1.041 1.141 1.391 2.991 8.341
a) Newton’s linear interpolation formula.
b) Excel plot the data and fit a 4th order polynomial, then use this polynomial to calculate f(4.0), using 3 significant figures after the decimal.
c) Octave/MATLAB’s built-in functions polyfit and polyval, again for a 4th order polynomial.
d) Octave/MATLAB’s built-in function spline.
e) Octave/MATLAB’s built-in function interp1, default version.
f) Octave/MATLAB’s built-in function interp1, “cubic” version.
g) Assuming the result you found in part (c) is the true value, calculate the true percent relative error (%εt) for each case.

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