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Paper Details

Polynomial Interpolation using Newtons Divided Difference and Lagranges Methods

R. B. Srivastava* and Purushottam Kumar Srivastava

Journal Title:Journal of Chemical, Biological and physical sciences

Polynomials of degree 10 for function f(x) = tan-1x have been obtained in the interval [-1, 1] using Newtons divided difference and Lagranges formulas by dividing the interval in to 200 equal parts. Values of function have been calculated at the points of the interval using these interpolating polynomials and compared with their exact values for the estimation of errors. Comparison of the values of interpolating polynomials with exact values show that Newtons divided formula is approximately two times better as compared to Lagranges interpolation formula.