Interpolation 

Here you will find Newton's forward & backward interpolation formula, Lagrange interpolation formula, Newton's divided difference interpolation formula with application 

 📌Newton's forward interpolation formula:

📌Newton's backward difference interpolation formula:

📌Lagrange's interpolation formula:

📌 Newton's divided difference interpolation formula:

(Q)By suitable interpolation formula find the value of f(3.2).

     x:    3.0          3.5        4.0         4.5         5.0

    f(x): 0.4771    0.5441  0.6020   0.6532   0.6990

Ans:

(Q) Find by Lagrange formula of interpolation polynomial which follow the table data:

x: -1   0   2   5

y: 9    5   3   15

also find the value of f(0.5)

Ans:

(Q) Using suitable interpolation formula to evaluate f(2.5) from the following table

x:      2        3         4          5

f(x): 14.5   16.3    17.5     18.0

Ans: