successive_approximation.cpp File Reference

Method of successive approximations using fixed-point iteration method. More...

#include <cmath>
#include <iostream>

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Functions
static float	eq (float y)
static float	eqd (float y)
int	main ()

Detailed Description

Method of successive approximations using fixed-point iteration method.

Definition in file successive_approximation.cpp.

Function Documentation

eq()

static float eq ( float y )

static

equation 1

\[f(y) = 3y - \cos y -2\]

Definition at line 12 of file successive_approximation.cpp.

{ return (3 * y) - cos(y) - 2; }

eqd()

static float eqd ( float y )

static

equation 2

\[f(y) = \frac{\cos y+2}{2}\]

Definition at line 17 of file successive_approximation.cpp.

{ return 0.5 * (cos(y) + 2); }

main()

int main

(

void

)

Main function

Definition at line 20 of file successive_approximation.cpp.

           {
    float y, x1, x2, x3, sum, s, a, f1, f2, gd;
    int i, n;
 
    for (i = 0; i < 10; i++) {
        sum = eq(y);
        std::cout << "value of equation at " << i << " " << sum << "\n";
        y++;
    }
    std::cout << "enter the x1->";
    std::cin >> x1;
    std::cout << "enter the no iteration to perform->\n";
    std::cin >> n;
 
    for (i = 0; i <= n; i++) {
        x2 = eqd(x1);
        std::cout << "\nenter the x2->" << x2;
        x1 = x2;
    }
    return 0;
}