C Program for Regula Falsi Method

Problem: Write a C program for regula falsi method or false position method to find real root of non linear equation using C programming language.

In this C program, e is tolerable error, x0 and x1 are two initial guesses and f(x) is non-linear function whose root is being obtained using false position method.

Example: Program for Falsi Position Method in C

C Program for Regula Falsi Method

#include<stdio.h>
#include<conio.h>
#include<math.h>

#define   f(x)   x*log10(x) - 1.2

int main()
{
	
	 float x0, x1, x2, f0, f1, f2, e;
	 int step = 1;
	 clrscr();
	 /* Inputs */
	 up:
	 printf("\nEnter two initial guesses:\n");
	 scanf("%f%f", &x0, &x1);
	 printf("Enter tolerable error:\n");
	 scanf("%f", &e);
	 /* Calculating Functional Values */
	 f0 = f(x0);
	 f1 = f(x1);
	 /* Checking whether given guesses brackets the root or not. */
	 if( f0*f1 > 0.0)
	 {
		  printf("Incorrect Initial Guesses.\n");
		  goto up;
	 }
	 /* Implementing Regula Falsi or False Position Method */
	 printf("\nStep\t\tx0\t\tx1\t\tx2\t\tf(x2)\n");
	 do
	 {
		  x2 = x0 - (x0-x1) * f0/(f0-f1);
		  f2 = f(x2);
		  printf("%d\t\t%f\t%f\t%f\t%f\n",step, x0, x1, x2, f2);
		
		  if(f0*f2 < 0)
		  {
			   x1 = x2;
			   f1 = f2;
		  }
		  else
		  {
			   x0 = x2;
			   f0 = f2;
		  }
		  step = step + 1;
	
	 }while(fabs(f2)>e);

	 printf("\nRoot is: %f", x2);
	 getch();
	 return 0;
}

Output:

Enter two initial guesses:
2
3
Enter tolerable error:
0.000001

Step        	x0             x1          x2             f(x2)
1           2.000000        3.000000      2.721014        -0.017091
2           2.721014        3.000000      2.740206        -0.000384
3           2.740206        3.000000      2.740636        -0.000009
4           2.740636        3.000000      2.740646        -0.000000

Root is: 2.740646