Comparative study of approximation using Lagrange and Hermite form of polynomial interpolations

Abstract

Interpolation means replacing complicated function by simple function which matches at distinct nodes in given interval. Best approximation depends on choice of calculating method, number of nodes and type of nodes. In present work comparative study is done between Lagrange and Hermite interpolation with equally spaced and Chebyshev nodes, by approximating four functions of different property. Experiments have shown that the Hermite polynomial with Chebyshev node distribution gives result of higher accuracy than those obtained using equally spaced nodes.