Abstract:
The main objective of this paper is to find the values ??of the two-dimensional integrals numerically, when their integrals are continuous when the partial periods on the two dimensions are not equal, where a composite method was derived for calculating the two-dimensional integrals by using the trapezoid rule on the inner dimension and the midpoint rule on the outer dimension) when The numbers of partial periods on the two dimensions are not equal with the limits of correction, and then compare the results obtained after improving them using Romperk and Aitkin acceleration. The method was characterized with Romperk acceleration and the results were of high accuracy and speed in reaching the closest value to the true value with a number of relatively few partial periods.
|