Adams-Moulton Method
#include<stdio.h>
#include<conio.h>
#include<math.h>
#define F x*y
int main ()
{
float x0,x1,x2,x3,x4,y0,y1,y2,y3,yc,h,f0,f1,f2,f3,f4,fc4,x,y,yp,e=1.0,yc1;
clrscr();
printf("Enter the valu of x0,x1,x2,x3,x4: \n");
scanf("%f%f%f%f%f",&x0,&x1,&x2,&x3,&x4);
printf("Enter the value of y0,y1,y2,y3:\n");
scanf("%f%f%f%f",&y0,&y1,&y2,&y3);
h=x1-x0;
x=x0;
y=y0;
f0=F;
x=x1;
y=y1;
f1=F;
x=x2;
y=y2;
f2=F;
x=x3;
y=y3;
f3=F;
yp=y3+(h*(55*f3-59*f2+37*f1-9*f0)/24);
y=yp;
x=x4;
f4=F;
while(e>=0.000001)
{
yc=y3+h*(19*f3-5*f2+f1+9*f4)/24;
y=yc;
fc4=F;
f4=fc4;
yc1=y3+h*(19*f3-5*f2+f1+9*f4)/24;
y=yc1;
fc4=F;
f4=fc4;
e=fabs(yc-yc1);
}
printf("\nRequired ans is: %f",yc);
getch();
return 0;
}