Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 30, Problem 12P
Develop a user-friendly computer program for the ADI method described in Sec. 30.5. Test it by duplicating Example 30.5.
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16.4. Show that if z' is the principal value, then
1+e**
z'dz =
(1-i),
2
where is the upper semicircle from z = 1 to z = -1.
L
16.8. For each of the following functions f, describe the domain of ana-
lyticity and apply the Cauchy-Goursat Theorem to show that f(z)dz =
0, where is the circle |2|=1:1
(a). f(z) =
1
z 2 + 2x + 2
(b). f(z) = ze*.
What about (c). f(z) = (2z-i)-2?
Chapter 30 Solutions
Numerical Methods for Engineers
Ch. 30 - 30.1 Repeat Example 30.1, but use the midpoint...Ch. 30 - Repeat Example 30.1, but for the case where the...Ch. 30 - 30.3 (a) Repeat Example 30.1, but for a time step...Ch. 30 - Repeat Example 30.2, but for the case where the...Ch. 30 - Repeat Example 30.3, but for x=1cm.Ch. 30 - 30.6 Repeat Example 30.5, but for the plate...Ch. 30 - 30.7 The advection-diffusion equation is used to...Ch. 30 - 30.8 Develop a user-friendly computer program for...Ch. 30 - 30.9 Modify the program in Prob. 30.8 so that it...Ch. 30 - Develop a user-friendly computer program to...
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