Abstract:
The main goal of this work to find numerical value of the triple integrals with continuous integrand numerically , by derivation composite rules and its correction terms and we improve these value by using Romberg acceleration with the composite rule from (Trapezoidal rule on the exterior dimension Z and interior dimension X and the suggested method on the middle dimension Y, denoted by TSuT) When the number of divisions on the three dimensions are equals. We presented theorem with its proof to evaluate this rule and the correction term for it. Therefore, we obtained high accuracy results in a relatively few sub- intervals and short time.
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