You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
64 lines
1.8 KiB
C++
64 lines
1.8 KiB
C++
|
|
/*-------------- ITERATIVE METHOD TO FIND ROOT OF AN EQUATION -------*/
|
|
|
|
/* THE FUNCTION p(x) FOR AN EQUATION IS DEFINED IN function fx
|
|
|
|
THE EQUATION IS,
|
|
|
|
x = 1 + 0.3*cos(x)
|
|
|
|
p(x) = 1 + 0.3*cos(x)
|
|
|
|
i.e. x = p(x)
|
|
|
|
INPUTS : 1) Initial approximation x0 to the root.
|
|
|
|
2) Number of iterations.
|
|
|
|
OUTPUTS : Value of the root. */
|
|
|
|
/*------------------------------ PROGRAM ----------------------------*/
|
|
|
|
#include<stdio.h>
|
|
#include<math.h>
|
|
#include<stdlib.h>
|
|
#include<conio.h>
|
|
|
|
void main()
|
|
{
|
|
double px ( double x); /* DECLARATION OF FUNCTION */
|
|
double x0,x1,p0;
|
|
int n,i;
|
|
clrscr();
|
|
printf("\n ITERATIVE METHOD TO FIND ROOT OF AN EQUATION");
|
|
printf("\n\n x = 1 + 0.3*cos(x)\n"
|
|
" p(x) = 1 + 0.3*cos(x)\n");
|
|
printf("\n\nEnter the value of initial "
|
|
"approximation x0 = ");
|
|
scanf("%lf",&x0);
|
|
/* INITIAL APPROXIMATION x0 IS TO BE ENTERED HERE */
|
|
printf("\nEnter the number of iterations = ");
|
|
scanf("%d",&n);
|
|
printf("\npress any key for display of iterations...\n");
|
|
getch();
|
|
i = 0;
|
|
while(n-- > 0)
|
|
{
|
|
x1 = px(x0); /* CALCULATION OF NEXT APPROXIMATION */
|
|
i++;
|
|
printf("\n%d x%d = %10.10lf",i,i,x1);
|
|
x0 = x1;
|
|
getch();
|
|
}
|
|
printf("\n\nThe value of root is = %20.15lf",x1); /* ROOT */
|
|
}
|
|
/*---------- FUNCTION PROCEDURE TO CALCULATE VALUE OF EQUATION --------*/
|
|
|
|
double px ( double x)
|
|
{
|
|
double p;
|
|
p = 1 + 0.3*cos(x); /* FUNCTION p(x) */
|
|
return(p);
|
|
}
|
|
/*----------------------------- END OF PROGRAM -------------------------*/
|