As this uses the forward differences, it is called NEWTON'S FORWARD DIFFERENCE FORMULA for interpolation, or simply, forward interpolation formula. EXERCISE 11.4.1 Show that and and in general, For the sake of numerical calculations, we give below a convenient form of the forward interpolation formula. Let then

The Gregory–Newton forward difference formula is a formula involving finite differences that gives an approximation for f (x), where x = x0 + ph, and f (x) ≈ f0 + pΔf0 gives the result of linear interpolation. Mar 29, 2017 · * Forward interpolation formula is used to interpolate the values of y nearer to the beginning value of the given table. * Also this formula is applicable if in case ...