اشتقاق طريقة عددية لحساب التكاملات الثلاثية و صيغة الخطأ لها باستخدام قاعدة شبه المنحرف و قاعدة النقطة الوسطى

Abstract EN

Our main aim of this research is to derive new rule for evaluating triple integrals with continuous integrands by using trapezoidal and mid point rules and to derive correction terms (error formula) and to improve the results by using Romberg acceleration .we showed that the composite method from Romberg acceleration and the values yielded from mid point method at the exterior dimension(z) and trapezoidal method at the middle and interior dimension y and x when the number of subintervals of exterior dimension equl to the number of subintervals of middle dimension and equl to the number of subintervals of interior dimension,that is (h = h = h ) ,where ash is the distances on z ordinates, h is the distances on y ordinates on y and h is the distances on x ordinates which we called it RMTT we can depend on it to evaluate triple integrals when the integrands are continuos and it gave high accuracy with little subinterrals.