Abstract
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.
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