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Backward divided difference: Representation of numerical data by a polynomial curve

Abstract

Due to the necessity of a formula for representing a given set of numerical data on a pair of variables by a suitable polynomial, in interpolation by the approach which consists of the representation of numerical data by a suitable polynomial and then to compute the value of the dependent variable from the polynomial corresponding to any given value of the independent variable, one such formula has been derived from Newton’s divided difference interpolation formula. This paper describes the derivation of the formula with numerical example as its application.

Advanced Numerical Analysis TechniquesHeat Transfer and Numerical MethodsScientific Measurement and Uncertainty EvaluationMathematicsPolynomial interpolationVariable (mathematics)Interpolation (computer graphics)PolynomialRepresentation (politics)Divided differencesApplied mathematicsMatrix polynomialSet (abstract data type)
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