MIXED ANTI-NEWTONIAN-GAUSSIAN RULE FOR REAL DEFINITE INTEGRALS

S. R. Jena, D. Nayak, A. K. Paul, and S. C. Mishra

  DOI:  https://doi.org/10.37418/amsj.9.11.115

Full Text

In this paper, real definite integrals are approximated with the anti-Newtonian and anti-Gaussian rule. The anti mixed rule contributes a better approximation to that of individual anti-Gaussian and anti-Newtonian rule for the numerical treatment of real definite integral. The validity and applicability of the proposed the scheme is illustrated through six tests and compared with an absolute error of proposed rule with constituent rules and to the analytical solutions.

Keywords: Anti-Gaussian rules, anti-Newtonian rules, mixed rule, Steffenson’s formulae, precision.