Innovative Acceleration Methods to Numerically Optimize the Values of Integrals with Simpson Rule 3/8

Abstract

The main goal of this research is to present innovative acceleration methods that are very useful in improving the numerical results of definite integrals of continuous integrals, in which the main error is of the fourth order - in terms of accuracy, the number of subintervals used, and the speed of obtaining results, specifically to accelerate the results obtained by the Simpson 3/8 method.