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

Posted By: Lulie Fischer     Category: C Programming     Views: 8369

Write a program of BISECTION METHOD USING LOG10(X)-COS(X).

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 ");
    printf("\nPlease enter right approximation\n\n");
    appro();
    }
    }
    
    void appro()
    {
    float x1,x2,x3,fx1,fx2,fx3;
    printf("\nPlease Enter first approximation: ");
    scanf("%f",&x1);
    printf("\nPlease Enter first approximation: ");
    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
********************
************************************************************************/
  
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Lulie Fischer
Lulie Fischer author of BISECTION METHOD USING LOG10(X)-COS(X) is from Frankfurt, Germany.
 
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