Newton Cote’s Quadrature Method versus Stirling’s Quadrature Method

Abstract

In this paper we make a comparison between the Newton’s Cote’s quadrature method and Stirling quadrature method. The numerical quadrature rules related to the Stirling interpolation polynomial are developed as opposed to the commonly used Newton’s interpolation polynomial. This is done for the case n = 1 and n = 2. The Newton’s Cote’s and Stirling’s quadrature methods are compared by making good use of well known integrals for the two cases n = 1 and n = 2. It is found that the Newton Cote’s formula provides better accuracy than the Stirling’s quadrature formula.