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backwordinterpolation.cpp
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backwordinterpolation.cpp
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#include<stdio.h>
#include<conio.h>
main()
{
int n,i,j,h,p=1;
float z,u,sum,q,x[10],y[10][10];
printf("Enter Number of elements : ");
scanf("%d",&n);
printf("Enter values of x \n");
for(i=0;i<n;i++)
{
scanf("%f",&x[i]);
}
printf("Enter values of Y \n");
for(i=0;i<n;i++)
{
scanf("%f",&y[i][0]);
}
printf("\n");
printf("\nEnter Interpolation point :");
scanf("%f",&z);
printf("\n");
for(j=1;j<n;j++)
{
for(i=n-1;i>(j-1);i--)
y[i][j] = y[i][j-1] - y[i-1][j-1];
}
printf("Backword Difference Table is \n");
printf("======================================\n");
for(i=0;i<n;i++)
{
printf("%.2f",x[i]);
for(j=0;j<=i;j++)
printf("\t%.2f",y[i][j]);
printf("\n");
}
h=x[1]-x[0];
u=(z-x[n-1])/h;
sum=y[n-1][0];
q=1.0;
for(j=1;j<n;j++)
{
p=p*j;
q=q*(u+j-1);
sum=sum+((q*y[n-1][j])/p);
}
printf("\n");
printf("The interpolation point value is : %0.2f",sum);
getch();
return 0;
}