Accelerations As(MM) and Aco(MM) To Find Double Integrals Numerically

Abstract

The main objective of this research is to use methods of accelerating the first type of Al Tememe Acceleration, specifically triangular acceleration sine rule and triangular acceleration cosine rule which has the main error of the second level to find the continuous double integrations specified numerically with using the midpoint rule on both internal dimension t and exterior dimension z by both methods and we will code the first method with the symbol As(MM) and the second method the symbol Aco(MM) ;we assumed that the number of divisions on the internal dimension t was equal to the number of divisions on the external dimension z ,where we got in both methods a high accuracy in the results with relatively few partial periods and a short time with the use of the Matlab 2017 program.