Newton Raphson Method process 1 C++

Newton Raphson Method

Newton Raphson Method

C Programming:Dev c++

/**********************************************************

 **************NEWTON RAPHSON METHOD****************       

 **********************************************************/

 /*Using Newton’s method, find the root of 3*x+sin(x)-exp(x).*/

#include<stdio.h>

#include<math.h>

double f(double x)

{

  return 3*x+sin(x)-exp(x);

}

double df(double x)

{

  return 3-cos(x)-exp(x);

}

main()

{

  double x,eps,x1;

  int maxSteps;

  printf("Enter the initial guess:\n");

  scanf("%lf",&x1);

  printf("Enter the desired accuracy:\n");

  scanf("%lf",&eps);

  printf("Enter the max. number of steps:\n");

  scanf("%d",&maxSteps);

  int iter=1;

  printf("________________________________________________________________________\n");

  printf("x\tf(x)\t\tf'(x)\t\tx1\t\t|x-x1|\t\tf(x1)\n");

  printf("________________________________________________________________________\n");

  do{

    x=x1;

    if(fabs(df(x))>=0.000000001&&df(x)!=NAN){

    

      x1=x-f(x)/df(x);

      printf("%d.\t%lf\t%lf\t%lf\t%lf\t%lf\n",iter,f(x),df(x),x1,fabs(x-x1),f(x1));

      iter++;

    }

    else{

      printf("Sorry! The slope is 0 for one of the iterations.\n NR Method failed.\n");

      return 0;

    }

      

  }

  while(fabs(x-x1)>=eps&&iter<=maxSteps);

  printf("________________________________________________________________________\n");

  printf("\nOne of the roots of the given equation is:\n\n%lf\n\n\n",x1);

  

}

OutPut Screen:

output of Newton Raphson Method