82 lines
2.7 KiB
C
82 lines
2.7 KiB
C
#include<stdio.h>
|
|
#include<conio.h>
|
|
#include<math.h>
|
|
#define MAX 20
|
|
|
|
float equation(float x,float y)
|
|
{
|
|
return(1+(y*y));
|
|
}
|
|
|
|
void main()
|
|
{
|
|
FILE *fp;
|
|
int i=0,count=-1;
|
|
float lower,upper,h,y1,xvalue[MAX],yvalue[MAX],result;
|
|
float function[MAX],search,final,temp;
|
|
fp=fopen("admbsh.dat","w");
|
|
clrscr();
|
|
printf("ADAM-BASHFORTH METHOD ");
|
|
fprintf(fp,"ADAM-BASHFORTH METHOD ");
|
|
printf("\n");
|
|
fprintf(fp,"\n");
|
|
printf("\nEnter the lower bound of x : ");
|
|
fprintf(fp,"\nEnter the lower bound of x : ");
|
|
scanf("%f",&lower);
|
|
fprintf(fp,"%f",lower);
|
|
printf("\nEnter the upper bound of x : ");
|
|
fprintf(fp,"\nEnter the upper bound of x : ");
|
|
scanf("%f",&upper);
|
|
fprintf(fp,"%f",upper);
|
|
printf("\nEnter the value of y(lower) : ");
|
|
fprintf(fp,"\nEnter the value of y(lower) : ");
|
|
scanf("%f",&y1);
|
|
fprintf(fp,"%f",y1);
|
|
printf("\nEnter the value of h : ");
|
|
fprintf(fp,"\nEnter the value of h : ");
|
|
scanf("%f",&h);
|
|
fprintf(fp,"%f",h);
|
|
printf("\nEnter the value of x for which you want to find y :");
|
|
fprintf(fp,"\nEnter the value of x for which you want to find y :");
|
|
scanf("%f",&search);
|
|
fprintf(fp,"%f",search);
|
|
xvalue[i]=lower;
|
|
yvalue[i]=y1;
|
|
for(i=0; xvalue[i]<=upper; i++)
|
|
{
|
|
xvalue[i+1]=xvalue[i]+h;
|
|
}
|
|
for(i=0; xvalue[i]<=upper; i++)
|
|
{
|
|
result=equation(xvalue[i],yvalue[i]);
|
|
yvalue[i+1]=yvalue[i]+(h*result);
|
|
}
|
|
printf("\n\n");
|
|
fprintf(fp,"\n\n");
|
|
printf("The table is ");
|
|
fprintf(fp,"The table is ");
|
|
printf("\n\n");
|
|
fprintf(fp,"\n\n");
|
|
printf(" i x y f(x,y) ");
|
|
fprintf(fp," i x y f(x,y) ");
|
|
printf("\n\n");
|
|
fprintf(fp,"\n\n");
|
|
for(i=0; xvalue[i]<=upper; i++)
|
|
{
|
|
function[i]=equation(xvalue[i],yvalue[i]);
|
|
printf(" %d. %.4f %.4f %.4f ",i,xvalue[i],yvalue[i],function[i]);
|
|
fprintf(fp," %d. %.4f %.4f %.4f ",i,xvalue[i],yvalue[i],function[i]);
|
|
count=count+1;
|
|
printf("\n");
|
|
fprintf(fp,"\n");
|
|
}
|
|
yvalue[search]=yvalue[count]+(h/24)*((-9*function[count-3])+(37*function[count-2])-(59*function[count-1])+(55*function[count]));
|
|
final=equation(search,yvalue[search]);
|
|
yvalue[search]=yvalue[count]+(h/24)*((function[count-2])-(5*function[count-1])+(19*function[count])+(9*final));
|
|
printf("\n\n");
|
|
fprintf(fp,"\n\n");
|
|
printf("Approximate value is : %.4f ",yvalue[search]);
|
|
fprintf(fp,"Approximate value is : %.4f ",yvalue[search]);
|
|
fclose(fp);
|
|
getch();
|
|
} |