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# RUNGE-KUTTA METHOD

Posted By: Brenda Fischer     Category: C Programming     Views: 57992

## Code for RUNGE-KUTTA METHOD in C Programming

```#include<stdio.h>
#include <math.h>
#include<conio.h>
//dy/dx = y - x#define F(x,y)  (y)-(x)
void main()
{
double y0,x0,y1,n,h,f,f1,k1,k2;
int j;
clrscr();
printf("\nEnter the value of x0: ");
scanf("%lf",&x0);
printf("\nEnter the value of y0: ");
scanf("%lf",&y0);
printf("\nEnter the value of h: ");
scanf("%lf",&h);
printf("\nEnter the value of last point: ");
scanf("%lf",&n);
for(; x0<n; x0=x0+h)
{
f=F(x0,y0);
k1 = h * f;
f1 = F(x0+h,y0+k1);
k2 = h * f1;
y1 = y0 + ( k1 + k2)/2;
printf("\n\n  k1 = %.4lf ",k1);
printf("\n\n  k2 = %.4lf ",k2);
printf("\n\n  y(%.4lf) = %.3lf ",x0+h,y1);
y0=y1;
}
getch();
}
/*____________________________________         OUT PUT____________________________________Enter the value of x0: 0Enter the value of y0: 2Enter the value of h: 0.05Enter the value of last point: 0.1     k1 = 0.1000     k2 = 0.1025     y(0.0500) = 2.101     k1 = 0.1026     k2 = 0.1052     y(0.1000) = 2.205*/```
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 Brenda Fischer author of RUNGE-KUTTA METHOD is from Frankfurt, Germany. View All Articles

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