Abstract:
The main objective of this research is to derive a rule for numerically calculating the values ??of triple integrals with continuous integrals in the region of integration using the trapezoidal rule on the dimensions y, ,and the mid point rule on two the dimension x ,zand how to find the correction limits for it (error formula) and improve these results using the Romberg acceleration method Through the correction limits that we found, when the number of partial periods into which the integration period is divided on the inner dimension x is equal to twice the number of partial periods into which the integration period is divided on the middle dimension Y and on the outer dimension Z. We will symbolize this method with the symbolRMTM and it is reliable because it has given high accuracy through the integrations we reviewed in the results compared to the analytical values ??of the integrals with a few partial periods.
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