How to I write a C++ program to get the numerical solution for the following problem using implicit scheme and SOR iteration?
How to I write a C++ program to get the numerical solution for the following problem using implicit scheme and SOR iteration?
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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
Transcribed Image Text:How to I write a C++ program to get the numerical solution for the following problem
using implicit scheme and SOR iteration?
Consider 10 diffusion equation be given as
du J²u
Ət əx²
0≤x≤ 2,0 ≤ t ≤ 10
Subject to the initial condition
u(x,0) = sin(x), 0 ≤ x ≤2
And the boundary conditions
u(0, t) = 0
0 ≤t≤ 10
The exact solution is given by
u(x, t) = e) sin(7), 0≤x≤ 2,0 ≤ t ≤ 10
Left
Condition
Inicial condition
to
right Condition
x
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Hi, can you re-write the ones I circled yellow? I couldn't really read it
![11:10)
#include <stdio.k>11***
#include <math. ka
#
define X2
Main ()
float x [x] [x+1], a[x], ae max, t, s, e;
iuti, S
9
MXIE;
for(i=0; i< x; i++) a[i]=0;
puto ("Enter the elements of augmented
matrix rowwise");
for(j=0; j<x+1; j++)
{
Scauf ("1. f", & x[][j]);
3
3
Printf ("Enter to allowed enor and Naximu
& itention:");
number
G
Scauf("%. 6.%.d", & ae, & mx12);
Printf ("Itectionx [] x [2] ");
for (x=1) 92 = MXIE; 9 ++)
३
Max = 0;
for (i=0; i < x; i++)
e
8
0;
for (i=0; i < x; j++)
Teordne
[JJ;
1 (j=i) s += x [] []*
+=(x [] [x]-s1x BJDJ;
C
X
e fabs (a[i]. £);
a[i] = t;
[*] *10*7*
}
Tintf ("1. 5d", (a); (+47:30-11
fa li=0; i<x i++)
Printf (" (9.46, a BJ);
Фліна в (""");
ів (махкае).
(DAX
{
Printf ("Converse in /. 3oliteotion"
a) bur
196/2
>
for (i=0; i<xi++)
a
return 0
}
[7.30 ]=-1.7.46
i+1, a[i]).
Hung
**** (*=*) 10)](https://content.bartleby.com/qna-images/question/e2176f25-5bf3-4e9a-8c3f-d12a2e12b83e/10efb97f-4784-4273-938e-2fcf0aaea7d2/mlflgnp_thumbnail.jpeg)
Transcribed Image Text:11:10)
#include <stdio.k>11***
#include <math. ka
#
define X2
Main ()
float x [x] [x+1], a[x], ae max, t, s, e;
iuti, S
9
MXIE;
for(i=0; i< x; i++) a[i]=0;
puto ("Enter the elements of augmented
matrix rowwise");
for(j=0; j<x+1; j++)
{
Scauf ("1. f", & x[][j]);
3
3
Printf ("Enter to allowed enor and Naximu
& itention:");
number
G
Scauf("%. 6.%.d", & ae, & mx12);
Printf ("Itectionx [] x [2] ");
for (x=1) 92 = MXIE; 9 ++)
३
Max = 0;
for (i=0; i < x; i++)
e
8
0;
for (i=0; i < x; j++)
Teordne
[JJ;
1 (j=i) s += x [] []*
+=(x [] [x]-s1x BJDJ;
C
X
e fabs (a[i]. £);
a[i] = t;
[*] *10*7*
}
Tintf ("1. 5d", (a); (+47:30-11
fa li=0; i<x i++)
Printf (" (9.46, a BJ);
Фліна в (""");
ів (махкае).
(DAX
{
Printf ("Converse in /. 3oliteotion"
a) bur
196/2
>
for (i=0; i<xi++)
a
return 0
}
[7.30 ]=-1.7.46
i+1, a[i]).
Hung
**** (*=*) 10)
Solution
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