NEWTON COUTHON PYTHON Code
# Backward Difference Table Generation
# Importing NumPy Library
import numpy as np
import sys
# Reading number of unknowns
n = int(input('Enter number of data points: '))
# Making numpy array of n & n x n size and initializing
# to zero for storing x and y value along with differences of y
x = np.zeros((n))
y = np.zeros((n,n))
# Reading data points
print('Enter data for x and y: ')
for i in range(n):
x[i] = float(input( 'x['+str(i)+']='))
y[i][0] = float(input( 'y['+str(i)+']='))
# Generating backward difference table
for i in range(1,n):
for j in range(n-1,i-2,-1):
y[j][i] = y[j][i-1] - y[j-1][i-1]
print('\nBACKWARD DIFFERENCE TABLE\n');
for i in range(0,n):
print('%0.2f' %(x[i]), end='')
for j in range(0, i+1):
print('\t%0.2f' %(y[i][j]), end='')
print()
Wandering Walrus