Consider the polynomial
() = −0.14 − 0.153 − 0.52 − 0.25 + 1.2
The true value of its de...
Physics, 01.02.2021 22:50 ridzrana02
Consider the polynomial
() = −0.14 − 0.153 − 0.52 − 0.25 + 1.2
The true value of its derivative at x=0.5 is ′
(0.5) = −0.9125. Use backward, forward, and centered
first finite differences to estimate the derivative numerically if the step size ∆ = 0.25, and determine
the percent error between the true value and each of the estimated values (percent error is given by
= −
converted to a percentage.) What value of ∆ would you have to use for the backward and forward
finite differences to get the same percent error as the centered finite difference (hint: it should be less
than 0.25.)
Answers: 3
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