Numerical Calculation of triple integrals with Continuous Integrands | ||
| journal of kerbala university | ||
| Article 1, Volume 8, Issue 4, November 2012, Pages 150-158 PDF (0 K) | ||
| Authors | ||
| Ali Hassan Mohammed; Jinan Raheem Nima; Safaa Mahdi Muosa | ||
| Abstract | ||
| The main aim of this research is to introduce a new rule to evaluate numerically the triple integrals of continuous integrands using Romberg accelerating method depending on correction terms which we found . We determined that the combined method of Romberg accelerating method on resulting values came from applying Mid-point rule on the outer dimension z and Simpson’s rule on the middle and inner dimensions y , x where number of subintervals to which the interval of integral on the inner dimension equal to that number of subintervals of interval of middle dimension and equal to the number of subintervals of outer dimension (i.e ) where , and are respectively distances between ordinates of – axis, – axis and – axis, we call them on which we can depend to reach solution of higher accuracy. | ||
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