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Paper Details

Estimation of Errors in Newtons Divided Difference Formula for Polynomial Interpolation of Inverse Trigonometrical Functions

V. P. Singh1, Satish Kumar1, R. B. Srivastava2*

Journal Title:Journal of Chemical, Biological and physical sciences

We have taken three continuous functions sin-1 x, cos-1 x and tan-1 x defined in the interval [-1, 1] for polynomial interpolation and then obtained the polynomials equivalent to these functions with the help of Newtons divided difference formula. We have also calculated the exact values of the functions and the values obtained by interpolating polynomials at equally spaced points of the interval. Errors from exact values have also been reported. Minimum percentage error in the interpolation of tan-1 x has been observed. The order of percentage errors in the interpolation of sin-1 x, cos-1 x and tan-1 x using Newtons interpolation formula is tan-1 x < sin-1 x < cos-1 x.