طريقة عددية لحساب التكاملات الثنائية عدديا ذات المكاملات المعتلة المشتقات الجزئية باستخدام قاعدة شبه المنحرف مع تعجيل رومبرك عندما تكون أعداد الفترات الجزئية على البعدين غير متساوية

الملخص EN

The main aim of this search is to derive numerical rule to calculate double integrals, It's integrand continuous but it's partial deriveatives are singular at one end of region of the integrals and to find the general form of the errors (correction terms) to it.

We use Romberg acceleration7661 to improve the values of double integrals ,we yieled that the method RTi (compound method by using Trapezoidal rule on both dimensions exterior y and interior x ) with applying Romberg acceleration when the number of the intervals that divide to it the period of integral on the interior dimension x is un equal to the number of the intervals that divide to it the period of the integral on the exterior dimension y (especially 2 1 n n  2 ) means that 2 1 1 2 h h        where, 1 h means the distance between the coordinates y - axis and 2 h are the distances between the coordinates x -axis.

It can be depend on it to find the values of double integrals numerically with high accuracy and using little subintervals.