Bisection Method Example In C Language

Bisection Method Example In C Language | C Program to show Bisection method

 

#include
#include
#include
//bisection method to solve the equation x^4-x-10=0//
float f(float x)
{
return(pow(x,4)-pow(x,1)-10);
}
void main()
{
float x,x1,a,b,err=0.00005; //err is the max error allowed
int i=1,n;
clrscr();
printf("enter the values of a,b and maximum iterations\n");
scanf("%f%f%d",&a,&b,&n);
x=(a+b)/2;
printf("iteration no. %d x=%10.5f\n",i,x);
i++;
while(i<n)
{
if(f(a)*f(x)<0) //checking for the signs
b=x;   //new interval (a,x)//
else
a=x;   //new interval (x,b)//
x=(a+b)/2;
printf("iteration no. %d x=%10.5f\n",i,x);
if(fabs(x1-x)<err)
{
printf("\nafter %d iterations, the value of root is %f\n",i,x);
break;
}
x1=x;
i++;
}
if(i>=n)
{
printf("\nsolution does not exist as iterations are not sufficient");
}
getch();
}