Error, forward & backward table

Here you will find algorithm, convergence,error,relative error, absolute error,truncation error, forward & backward difference table & their application.

See some topic related defination, example, questions with solutions:

Solutions of Exercise 1.10 (see from above pdf)

Some proofs:

(Q)   x  : 0     1     2    3    4    5

      f(x): 41  43   47  53  61  71

Find polynomial of degree  2 from the above table

Ans:

(Q) Find f(x) as polynomial of x using following table: 

     x: 0   1   2   3   4

 f(x): 1   3   9   -   81

Ans: