//Backward Difference
#include<iostream>
#include<iomanip>
using namespace std;
int main()
{
cout.precision(5); //set precision
cout.setf(ios::fixed);
int i=0,j=0,n,k=0;
cout<<"\nEnter the number of values to be entered.\n";
cin>>n;
double x[n], y[n][n]; //make an array for x values and an nxn matrix for y and successive difference values, where y[n][0] is for the the y values
cout<<"\nEnter the values of x\n";
for (i=0;i<n;i++)
cin>>x[i]; //input x values
cout<<"\nEnter the values of y\n";
for (i=0;i<n;i++)
cin>>y[i][0]; //input y values in the first column of y matrix
for (j=1;j<n;j++) //loop to calculate the difference and store them in the matrix
{
k++;
for (i=k;i<n;i++)
{
y[i][j]=y[i][j-1]-y[i-1][j-1];
}
}
cout<<"\n The Backward Difference Table is as follows: \n\n";
cout<<"x"<<setw(10)<<"y"<<setw(10);
for (i=1;i<n;i++)
cout<<"y"<<i<<setw(10); //formatting the output and creating table headings
cout<<"\n-----------------------------------------------------------------------\n";
for (i=0;i<n;i++) //loop for printing the diagonal matrix on the screen
{
cout<<x[i]<<setw(10);
for (j=0;j<=i;j++)
{
cout<<y[i][j];
cout<<setw(10);
}
cout<<"\n";
}
return 0;
}

I'm a physicist specializing in theoretical, computational and experimental condensed matter physics. I like to develop Physics related apps and softwares from time to time. Can code in most of the popular languages. Like to share my knowledge in Physics and applications using this Blog and a YouTube channel.