Search:

Submit Article

# BISECTION METHOD USING LOG10(X)-COS(X)

Posted By: Lulie Fischer     Category: C Programming     Views: 12305

## Code for BISECTION METHOD USING LOG10(X)-COS(X) in C Programming

```    #include<stdio.h>
#include<conio.h>
#include<math.h>
#define epsil 0.0001

int p,c[10];

void appro();
void bisection(float,float,float,float);

float fun(float x)
{
int i;
float y=0.0;
y=log10(x)-cos(x);
return y;
}

void main()
{
int i;
clrscr();
appro();
getch();
}

void bisection(float x1,float x2,float fx1,float fx2)
{
float x3,fx3;
int n=1;
if(fx1<0&&fx2>0||fx1>0&&fx2<0)
{
printf("******************************************************************\n");
printf("\nIt   x1        fx1        x2         fx2        x3         fx3\n");
printf("******************************************************************\n");
do
{
x3=(x1+x2)/2;
fx3=fun(x3);
if(fx3==0)
{
break;
}
if((fx1*fx3)>0)
{
x1=x3;
fx1=fx3;
}
else
{
x2=x3;
fx2=fx3;
}
printf("%d   %.4f    %.4f     %.4f    %.4f    %.4f     %.4f\n",n,x1,fx1,x2,fx2,x3,fx3);
n=n+1;
}while((fabs(x1-x2)>epsil)&&(fx3!=0));
printf("\n\t\t********************\n");
printf("\n\t\tThe root is %.4f\n",x3);
printf("\t\t********************\n");
}
else
{
clrscr();

printf("\nError in the Initial approximation\n ");
appro();
}
}

void appro()
{
float x1,x2,x3,fx1,fx2,fx3;
scanf("%f",&x1);
scanf("%f",&x2);
fx1=fun(x1);
fx2=fun(x2);
bisection(x1,x2,fx1,fx2);
}
/*************************************OUTPUT**************************************    Please Enter first approximation: 1    Please Enter first approximation: 2    ******************************************************************    It   x1        fx1        x2         fx2        x3         fx3    ******************************************************************    1   1.0000    -0.5403     1.5000    0.1054    1.5000     0.1054    2   1.2500    -0.2184     1.5000    0.1054    1.2500     -0.2184    3   1.3750    -0.0562     1.5000    0.1054    1.3750     -0.0562    4   1.3750    -0.0562     1.4375    0.0247    1.4375     0.0247    5   1.4062    -0.0157     1.4375    0.0247    1.4062     -0.0157    6   1.4062    -0.0157     1.4219    0.0045    1.4219     0.0045    7   1.4141    -0.0056     1.4219    0.0045    1.4141     -0.0056    8   1.4180    -0.0006     1.4219    0.0045    1.4180     -0.0006    9   1.4180    -0.0006     1.4199    0.0020    1.4199     0.0020    10   1.4180    -0.0006     1.4189    0.0007    1.4189     0.0007    11   1.4180    -0.0006     1.4185    0.0001    1.4185     0.0001    12   1.4182    -0.0003     1.4185    0.0001    1.4182     -0.0003    13   1.4183    -0.0001     1.4185    0.0001    1.4183     -0.0001    14   1.4184    -0.0000     1.4185    0.0001    1.4184     -0.0000                        ********************                           The root is 1.4184                           ********************                                ************************************************************************/```
Share:

Didn't find what you were looking for? Find more on BISECTION METHOD USING LOG10(X)-COS(X) Or get search suggestion and latest updates.

 Lulie Fischer author of BISECTION METHOD USING LOG10(X)-COS(X) is from Frankfurt, Germany. View All Articles

 Please enter your CommentComment should be atleast 30 Characters.Please put code inside [Code] your code [/Code]. No Comment Found, Be the First to post comment!