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Evaluation of triple integrals with Continuous Integrands numerically by Newton-Cotes Formulas | ||
| journal of al-qadisiyah for pure science(quarterly) | ||
| Article 1, Volume 14, Issue 1, 2014, Pages 1-9 PDF (0 K) | ||
| Author | ||
| Ali Hassan Mohammed | ||
| Abstract | ||
| The main aim of this search is to derivation numerically new rule to find the values of the triple integrals, Its integrands continuous in region of the integration and derivation the errors (correction terms ) and to improve the results of the triple integrals we used Romberg accelerating method by depending on these correction terms that we found, this method (composition method of applying Romberg acceleration method on the obtained values of applying Mid-point rule on the dimension z and Simpson’s rule on the dimension y and Trapezoidal Rule on the dimension x, when the number of subintervals of interval of interior dimension equal to the number of subintervals of interval of middle dimension and equal to the number of subintervals of exterior dimension) such that , is the distances between the ordinates on the x– axis, is the distances between the ordinates on the y- axis and is the distances between the ordinates on the z– axis ,and we indicate this method by (RMST) , we can depend on it to calculate the triple integrals when it integrands continuous on the region of integration and give higher accuracy in the results by few subintervals. | ||
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