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5. One of the popular 3-point numerical differentiation formula is given by -3f(xo) + 4f(co +h) - f(xo+2h) f'(x0) ~ 2h The (truncation) error here is of order O(hP) for a certain p. By expanding the terms in the numerator in suitable Taylor polynomials (or some other way) determine p.

5. One of the popular 3-point numerical differentiation formula is given by -3f(xo) + 4f(co +h) - f(xo+2h) f'(x0) ~ 2h The (truncation) error here is of order O(hP) for a certain p. By expanding the terms in the numerator in suitable Taylor polynomials (or some other way) determine p.

Advanced Engineering Mathematics
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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5. One of the popular 3-point numerical differentiation formula is given by -3f(xo) + 4f(co +h) - f(xo+ 2h) f'(xo) - 2h The (truncation) error here is of order O(hP) for a certain p. By expanding the terms in the numerator in suitable Taylor polynomials (or some other way) determine р.
Transcribed Image Text:5. One of the popular 3-point numerical differentiation formula is given by -3f(xo) + 4f(co +h) - f(xo+ 2h) f'(xo) - 2h The (truncation) error here is of order O(hP) for a certain p. By expanding the terms in the numerator in suitable Taylor polynomials (or some other way) determine р.
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