Newton’s forward interpolation: representation of numerical data by a polynomial curve

Abstract

In order to reduce the numerical computations associated to the repeated application of the existing interpolation formula in computing a large number of interpolated values, a formula has been derived from Newton’s forward interpolation formula for representing the numerical data on a pair of variables by a polynomial curve. Application of the formula to numerical data has been shown in the case of representing the data on the total population of India corresponding as a function of time. The formula is suitable in the situation where the values of the argument (i.e. independent variable) are at equal interval.