Topic 12.2: Backward Divided-Difference Formulae (Questions)

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Question 1

Approximate the current at the midpoint of the incoming data ..., 7.2, 7.3, 7.4, 7.5, 7.6, ... where the charge on a capacitor these times is 0.00242759 0.00241500 0.00240247 0.00239001 0.00237761.

Answer: -0.0001253 and -0.0001250.

Question 2

Note that the coefficients in the numerator and denominator add up to zero. (-1 + 1 = 1 - 4 + 3 = 0). What would happen if these did not add up to zero?

Answer: Consider what would happen if added, for example, 5, to each of the y values.

Copyright ©2005 by Douglas Wilhelm Harder. All rights reserved.