//Forward Difference Table
#include<iostream>
#include<iomanip>
using namespace std;
int main()
{
cout.precision(2); //set precision
cout.setf(ios::fixed);
int i=0,j=0,n,k;
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++) //input x values
cin>>x[i];
cout<<"\nEnter the values of y\n";
for (i=0;i<n;i++) //input y values in the first column of y matrix
cin>>y[i][0];
for (j=1;j<n;j++) //loop to calculate the difference and store them in the matrix
for (i=0;i<n-j;i++)
{
y[i][j]=y[i+1][j-1]-y[i][j-1];
}
cout<<"\n The Forward Difference Table is as follows: \n\n";
cout<<"x"<<setw(10)<<"y"<<setw(10); //formatting the output and creating table headings
for (i=1;i<n;i++)
cout<<"y"<<i<<setw(10);
cout<<"\n-----------------------------------------------------------------------\n";
k=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<k;j++)
{
cout<<y[i][j];
cout<<setw(10);
}
cout<<"\n";
k--;
}
return 0;
}

PhD researcher at Friedrich-Schiller University Jena, Germany. 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.