Derivation of formulaes for evaluating double integrals and their error formulaes by using Trapezoidal rule.

	Derivation of formulaes for evaluating double integrals and their error formulaes by using Trapezoidal rule.
journal of kerbala university
Article 1, Volume 8, Issue 2, 2012, Pages 225-245 PDF (0 K)
Abstract
The main aim of this search is to evaluate double integrals numerically ,with continuous integrands or continuous but at least one of the partial derivatives is singular or with singular integrands at one point or more of the integral region and to find the general forms of correction terms (Errors) with respect to the behaviour of integrands by style different from style that Mohammed [4], Altaii[9], Dya’a[12] used it .By depending on that the correction terms that we found it we improved the results that we got it .And we found the method RTT(compouned method depends on Trapezoidal method for the two dimensions x and y ) and Romberg acceleration can be depend on it when the subintervals of interior dimension x equal to subintervals of exterior dimension y, that is where as means the distances between x ordinates and h means the distances between y ordinates. This method gives high accuracy on the results with little subintervals and little time less than the others searchers needed it.

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