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Approximation using Lagrange and Hermite Form of Polynomial Interpolation: An Experimental Study

Using interpolation complicated functions can be converted into simple polynomials which are computationally simple, save time and minimize error. In this paper an experimental study is performed to show the importance of nodal scheme on approximation using Lagrange and Hermite form of polynomial interpolation using three functions with different characteristics. Experimental results show that Hermite polynomials with Chebyshev nodes performs better for higher order polynomials as compared with equally spaced nodes as well as lagrange polynomials.