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Program of BISECTION METHOD

Posted By: Rainhard Fischer     Category: C Programming     Views: 71222

Write a program of BISECTION METHOD.

Code for Program of BISECTION METHOD in C Programming

#include<stdio.h>
#include <math.h>
#include<conio.h>
#define ESP 0.001
#define F(x) (x)*(x)*(x) + (x)*(x) + (x) + 7
void main()
{
  int i = 1;
  float x0,x1,x2;
  double f1,f2,f0,t;
  clrscr();
  printf("\nEnter the value of x0: ");
  scanf("%f",&x0);

  printf("\nEnter the value of x1: ");
  scanf("%f",&x1);
  printf("\n__________________________________________________________________\n");
  printf("\niteration\t x0\t       x1\t x2\t   f0\t   f1\t   f2");
  printf("\n___________________________________________________________________\n");
  do
  {
  x2=(x0+x1)/2;
  f0=F(x0);
  f1=F(x1);
  f2=F(x2);
  printf("\n%d %f %f %f %lf %lf %lf", i, x0,x1,x2,f0,f1,f2);
  if(f0*f2<0)
   {
    x1=x2;
   }
   else
   {
    x0=x2;
   }
   i++;
  }while(fabs(f2)>ESP);
printf("\n__________________________________________________________\n");
printf("\n\nApp.root = %f",x2);
getch();
}

/*
OUT PUT
---------


Enter the value of x0: -2

Enter the value of x0: -1

Enter the value of x1: -2

__________________________________________________________

x0 x1 x2 f0 f1 f2
__________________________________________________________

-1.000000 -2.000000 -1.500000 -5.000000 2.000000 -1.750000
-1.500000 -2.000000 -1.750000 -1.750000 2.000000 0.062500
-1.500000 -1.750000 -1.625000 -1.750000 0.062500 -0.859375
-1.625000 -1.750000 -1.687500 -0.859375 0.062500 -0.402344
-1.687500 -1.750000 -1.718750 -0.402344 0.062500 -0.170898
-1.718750 -1.750000 -1.734375 -0.170898 0.062500 -0.054443
-1.734375 -1.750000 -1.742188 -0.054443 0.062500 0.003967
-1.734375 -1.742188 -1.738281 -0.054443 0.003967 -0.025253
-1.738281 -1.742188 -1.740234 -0.025253 0.003967 -0.010647
-1.740234 -1.742188 -1.741211 -0.010647 0.003967 -0.003341
-1.741211 -1.742188 -1.741699 -0.003341 0.003967 0.000313
__________________________________________________________


App.root = -1.741699


*/
  
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Rainhard Fischer
Rainhard Fischer author of Program of BISECTION METHOD is from Frankfurt, Germany.
 
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