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Derivation of numerically method for evaluating tripleintegrals with Continuous Integrands andForm of Error (Correction Terms) | ||
| journal of kerbala university | ||
| Article 1, Volume 9, Issue 2, 2013, Pages 67-76 PDF (0 K) | ||
| Abstract | ||
| The main aim of this search is to derivation numerically method to find the values of the triple integrals, Its integrands continuous in region of the integrals and to find the general form of the errors (correction terms ) We have also introduced one theorem to find the correction errors bounds with respect to the triple integral , we applied the new formula to calculate the triple integral and found this method ( method , it is composition method of applying Romberg accelration method on the obtained values of applying Simpson’s rule on the three dimension , and when the number of subintervals of interval of interior integral equal to the number of subintervals of interval of middle integral and equal to the number of subintervals of exterior integral when is the distances between the coordinates on the - axis , is the distances between the coordinates on the - axis and is the distances between the coordinates on the - axis ) , we can depend on it to calculate the triple integrals and give higher accuracy in the results by few subintervals and time less than the request timethat researchers Dayaa [5] and Eghaar[6] needed to it . | ||
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