ADVANCED ENGINEERING MATHEMATICS
10th Edition
ISBN: 9781119664697
Author: Kreyszig
Publisher: WILEY
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Students have asked these similar questions
1.6. By manipulating Taylor series, determine the constant C for an error expansion
of (1.3) of the form wj−u' (xj) ~ Ch¼u (5) (x;), where u (5) denotes the fifth derivative.
Based on this value of C and on the formula for u(5) (x) with u(x) = esin(x), determine
the leading term in the expansion for w; - u'(x;) for u(x) = esin(x). (You will have
to find maxε[-T,T] |u(5) (x)| numerically.) Modify Program 1 so that it plots the
dashed line corresponding to this leading term rather than just N-4. This adjusted
dashed line should fit the data almost perfectly. Plot the difference between the two
on a log-log scale and verify that it shrinks at the rate O(h6).
Define sinc(x) = sin(x)/x, except with the singularity removed. Differentiate sinc(x) once and twice.
1.4. Run Program 1 to N
=
216 instead of 212. What happens to the plot of
error vs. N? Why? Use the MATLAB commands tic and toc to generate a plot of
approximately how the computation time depends on N. Is the dependence linear,
quadratic, or cubic?
Chapter 20 Solutions
ADVANCED ENGINEERING MATHEMATICS
Ch. 20.1 - Prob. 1PCh. 20.1 - Prob. 2PCh. 20.1 - Prob. 3PCh. 20.1 - Prob. 4PCh. 20.1 - Prob. 5PCh. 20.1 - Prob. 6PCh. 20.1 - Prob. 7PCh. 20.1 - Prob. 8PCh. 20.1 - Prob. 9PCh. 20.1 - Prob. 10P
Ch. 20.1 - Prob. 11PCh. 20.1 - Prob. 12PCh. 20.1 - Prob. 13PCh. 20.1 - Prob. 14PCh. 20.1 - Prob. 15PCh. 20.1 - Prob. 16PCh. 20.2 - Prob. 1PCh. 20.2 - Prob. 2PCh. 20.2 - Prob. 3PCh. 20.2 - Prob. 4PCh. 20.2 - Prob. 5PCh. 20.2 - Prob. 7PCh. 20.2 - Prob. 8PCh. 20.2 - Prob. 9PCh. 20.2 - Prob. 10PCh. 20.2 - Prob. 11PCh. 20.2 - Prob. 12PCh. 20.2 - Prob. 13PCh. 20.2 - Prob. 15PCh. 20.2 - Prob. 16PCh. 20.2 - Prob. 17PCh. 20.2 - Prob. 18PCh. 20.2 - Prob. 19PCh. 20.2 - Prob. 20PCh. 20.3 - Prob. 1PCh. 20.3 - Prob. 2PCh. 20.3 - Prob. 3PCh. 20.3 - Prob. 4PCh. 20.3 - Prob. 5PCh. 20.3 - Prob. 6PCh. 20.3 - Prob. 7PCh. 20.3 - Prob. 8PCh. 20.3 - Prob. 9PCh. 20.3 - Prob. 10PCh. 20.3 - Prob. 11PCh. 20.3 - Prob. 12PCh. 20.3 - Prob. 14PCh. 20.3 - Prob. 15PCh. 20.3 - Prob. 16PCh. 20.3 - Prob. 17PCh. 20.3 - Prob. 18PCh. 20.3 - Prob. 19PCh. 20.3 - Prob. 20PCh. 20.4 - Prob. 1PCh. 20.4 - Prob. 2PCh. 20.4 - Prob. 3PCh. 20.4 - Prob. 4PCh. 20.4 - Prob. 5PCh. 20.4 - Prob. 6PCh. 20.4 - Prob. 7PCh. 20.4 - Prob. 8PCh. 20.4 - Prob. 9PCh. 20.4 - Prob. 10PCh. 20.4 - Prob. 11PCh. 20.4 - Prob. 12PCh. 20.4 - Prob. 13PCh. 20.4 - Prob. 14PCh. 20.4 - Prob. 15PCh. 20.4 - Prob. 16PCh. 20.4 - Prob. 17PCh. 20.4 - Prob. 18PCh. 20.4 - Prob. 19PCh. 20.4 - Prob. 20PCh. 20.4 - Prob. 21PCh. 20.4 - Prob. 22PCh. 20.5 - Prob. 1PCh. 20.5 - Prob. 2PCh. 20.5 - Prob. 3PCh. 20.5 - Prob. 4PCh. 20.5 - Prob. 5PCh. 20.5 - Prob. 6PCh. 20.5 - Prob. 7PCh. 20.5 - Prob. 8PCh. 20.5 - Prob. 9PCh. 20.5 - Prob. 10PCh. 20.5 - Prob. 11PCh. 20.5 - Prob. 12PCh. 20.5 - Prob. 13PCh. 20.7 - Prob. 1PCh. 20.7 - Prob. 2PCh. 20.7 - Prob. 3PCh. 20.7 - Prob. 4PCh. 20.7 - Prob. 5PCh. 20.7 - Prob. 6PCh. 20.7 - Prob. 7PCh. 20.7 - Prob. 8PCh. 20.7 - Prob. 9PCh. 20.7 - Prob. 10PCh. 20.7 - Prob. 11PCh. 20.7 - Prob. 12PCh. 20.7 - Prob. 13PCh. 20.7 - Prob. 14PCh. 20.7 - Prob. 15PCh. 20.7 - Prob. 16PCh. 20.7 - Prob. 17PCh. 20.7 - Prob. 18PCh. 20.7 - Prob. 19PCh. 20.7 - Prob. 20PCh. 20.8 - Prob. 1PCh. 20.8 - Prob. 2PCh. 20.8 - Prob. 3PCh. 20.8 - Prob. 4PCh. 20.8 - Prob. 5PCh. 20.8 - Prob. 6PCh. 20.8 - Prob. 7PCh. 20.8 - Prob. 8PCh. 20.8 - Prob. 9PCh. 20.8 - Prob. 10PCh. 20.8 - Prob. 11PCh. 20.9 - Prob. 1PCh. 20.9 - Prob. 2PCh. 20.9 - Prob. 3PCh. 20.9 - Prob. 4PCh. 20.9 - Prob. 5PCh. 20.9 - Prob. 6PCh. 20.9 - Prob. 7PCh. 20.9 - Prob. 8PCh. 20 - Prob. 1RQCh. 20 - Prob. 2RQCh. 20 - Prob. 3RQCh. 20 - Prob. 4RQCh. 20 - Prob. 5RQCh. 20 - Prob. 6RQCh. 20 - Prob. 7RQCh. 20 - Prob. 8RQCh. 20 - Prob. 9RQCh. 20 - Prob. 10RQCh. 20 - Prob. 11RQCh. 20 - Prob. 12RQCh. 20 - Prob. 13RQCh. 20 - Prob. 14RQCh. 20 - Prob. 15RQCh. 20 - Prob. 16RQCh. 20 - Prob. 17RQCh. 20 - Prob. 18RQCh. 20 - Prob. 19RQCh. 20 - Prob. 20RQCh. 20 - Prob. 21RQCh. 20 - Prob. 22RQCh. 20 - Prob. 23RQCh. 20 - Prob. 24RQCh. 20 - Prob. 25RQCh. 20 - Prob. 26RQCh. 20 - Prob. 27RQCh. 20 - Prob. 28RQCh. 20 - Prob. 29RQCh. 20 - Prob. 30RQCh. 20 - Prob. 31RQCh. 20 - Prob. 32RQCh. 20 - Prob. 33RQCh. 20 - Prob. 34RQCh. 20 - Prob. 35RQCh. 20 - Prob. 36RQCh. 20 - Prob. 37RQCh. 20 - Prob. 38RQCh. 20 - Prob. 39RQCh. 20 - Prob. 40RQ
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