Shpëtim Rexhepi, Egzona Iseni, Bilall I. Shaini, Tetuta Zenku

In this paper is given a description of Neville’s algorithm which is generated from Lagrange interpolation
polynomials. Given a summary of the properties of these polynomials with some applications. Then, using the
Lagrange polynomials of lower degrees, Neville algorithm allows recursive computation of those of the larger
degrees, including the adaption of Neville’s method to trigonometric interpolation. Furthermore, using a
software application, such as in our case, Matlab, we will show the numerical experiments comparisons between
the Lagrange interpolation and Neville`s interpolation methods and conclude for their advantages or


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