Newton's Backward Interpolation

Matlab codes for Newton's Backward Interpolation.

For details of the method and also coding watch the lecture: https://youtu.be/4cSH7JEeAEI

Enter the values of independent variable x in an array:

[1:1:6]

Enter the values of dependent variable y in an array:

[1 8 27 65 123 208]

Enter the value of x where we want to find the value of f(x): 5.85

The forward difference table is:

d =

7 12 7 -6 12

19 19 1 6 0

38 20 7 0 0

58 27 0 0 0

85 0 0 0 0

The required value is f(5.85)= 192.8267>>