استنباط قاعدة التكامل العددي

Abstract EN

The main objective of this research is, to devise a new base to find a single integrals numerically specified values of continuous functions, continuous but diseased derivative or diseased in one or more points of integration area.

It also found fault with formulas, as we have the conclusion of this method of trapezoidal and Simpson bases.

In addition, the results have been improved based on the boundaries of the patch and using accelerate of Romberg, so we concluded that it can rely on this method of integrals specific account, where given the relatively high accuracy results in a few partial periods compared with the trapezoidal rule.