EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Textbook Question
Chapter 30, Problem 10P
Develop a user-friendly computer program to implement the simple implicit scheme from Sec. 30.3. Test it by duplicating Example 30.2.
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Students have asked these similar questions
Construct tables showing the values of alI the Dirichlet characters mod k fork = 8,9, and 10.
(please show me result in a table and the equation in mathematical format.)
Example: For what odd primes p is 11 a quadratic residue modulo p?
Solution:
This is really asking "when is (11 | p) =1?"
First, 11 = 3 (mod 4). To use LQR, consider two cases p = 1 or 3 (mod 4):
p=1 We have 1 = (11 | p) = (p | 11), so p is a quadratic residue modulo 11. By
brute force:
121, 224, 3² = 9, 4² = 5, 5² = 3 (mod 11)
so the quadratic residues mod 11 are 1,3,4,5,9.
Using CRT for p = 1 (mod 4) & p = 1,3,4,5,9 (mod 11).
p = 1
(mod 4)
&
p = 1
(mod 11
gives p
1
(mod 44).
p = 1
(mod 4)
&
p = 3
(mod 11)
gives p25
(mod 44).
p = 1
(mod 4)
&
p = 4
(mod 11)
gives p=37
(mod 44).
p = 1
(mod 4)
&
p = 5
(mod 11)
gives p
5
(mod 44).
p = 1
(mod 4)
&
p=9
(mod 11)
gives p
9
(mod 44).
So p =1,5,9,25,37 (mod 44).
how to construct the following same table?
Chapter 30 Solutions
EBK 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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