Accelerations Asi(MM) and Ati(MM) to find double integrals numerically
2021 Apr

ملخص البحث

This research investigates two methods which use accelerating of Al Tememe’s inverse triangular acceleration of the first kind [1], by using “inverse sine triangular acceleration rule for Al-Tememe of the first kind” in the first method, and “inverse tangent triangular acceleration rule for Al-Tememe of the first kind” in the second method ; both of them have a major error of the first kind and these are beneficial to find double integrations with the continuous integrands specified numerically by the midpoint rule on both internal and external dimensions x and t respectively by above methods. We named the first method Asi (MM) and the second method Ati (MM), It was also proposed that the number of subintervals on the interior dimension x was the same as the number of subintervals on the exterior dimension t, obtained from the two methods with highly accurate results with relatively few subintervals and speed with using the program Matlab 2017.

كلمات دلاليه
Accelerations