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Derivation Of Numerically Method For Evaluating Double Integrals With Continuous Integrands | ||
| Journal of Kufa for Mathematics and Computer | ||
| Article 1, Volume 1, Issue 7, 2013, Pages 1-7 | ||
| Authors | ||
| Ali Hassan Mohammed; Safaa Mahdi Muosa | ||
| Abstract | ||
| The main aim of this search is to derivation numerically method to find the values of the double integrals, Its integrands continuous in region of the integrals and to find the general form of the errors (correction terms ) with different style that another researchers used it Mohammed [6] , Alttai [7] and Dayaa [8] . We have introduced one case to find the correction terms bounds with respect to the double integration . We calculated the double integrals Its integrals continuous by method which is compound method from using Romberg‘s acceleration with the two rules ( Simpson’s over the exterior dimension and mid-point over the interior dimension )) when the number of subintervals of interval of interior integral equal to the number of subintervals of interval of exterior integral and this is meaus where is the distances between coordinates of and is the distances between coordinates of and we can depend on it to calculate the double integrations Its integrals continuous , and give higher accuracy in the results by few subintervals . | ||
| Keywords | ||
| double integration; RSM method; Romberg; Simpson | ||
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