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Aitken’s Acceleration Method With mid-point rule to Evaluation Triple Integrals Numerically with Continuous ,Singular Derivatives and Singular Integrands | ||
| Journal of Kufa for Mathematics and Computer | ||
| Article 1, Volume 1, Issue 7, 2013, Pages 27-34 | ||
| Authors | ||
| Ali Hassan Mohammed; Rusul Hassan Naser | ||
| Abstract | ||
| On this research we work to we new style to evaluate triple integrals numerically when its integrands continuous or singular or continuous but at least one of its derivatives singular . We choose the mid-point rule for this purpose , since it is better than the other Newton-Cotes formula (for treatment problems of singularity )and it is simple at application ,and we apply it for the three dimensions when the number of subintervals of interval [a ,b] equal to the number of subintervals of interval[c,d] and also equal to the number of subintervals of interval [e,f] ,that is mean ( h =h =h ) alsowe wll use Aitken’s acceleration on the yielded values to improve the values ,and we will indicate to this method by asymoble AMMM when A indicates to Aitken’s method and MMM indicates to mid-point rule on the three dimensions. | ||
| Keywords | ||
| triple integrals; mid; point rule; Newton; Cotes formula | ||
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