Abstract
Numerical methods are powerful mathematical methods used to solve complex ordinary differential equations. They sometime rely on polynomial interpolation technique, which is viewed as interpolation of a given set of collected data by a polynomial of lowest possible degree able to fit through the points of the given dataset. There exist many polynomial interpolations in the available literature, in this chapter, we present some well-known polynomial interpolation and their properties. In particular, we present in this chapter the following polynomial including: Berstein polynomial, Newton polynomial interpolation, Hermite interpolation, cubic polynomial, B-spline polynomial, Legendre polynomial, Chebyschev polynomial, Lagrange-Sylvester interpolation.
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