Derivation of numerically method for evaluating triple integrals and its error formnla by using trapeoidal method and Simpson’s method
Our main aim of this search is to derivation new rule for evaluating of triple integrals with continuous integronds by using trapezoidal and Simpson’s rules and to derive correction terms (error formula) and to improve the results by using Romberg accelration. We showed that the composit method from Romberg accelration and the values yielded from Simpson’s method at the interior dimension (x) and trapezoidal method at the middle and exterior dimension (y and z) when the number of subintervals of exterior dimension equal to the number of subintervals of middle dimension and equal to the number of subintervals of interior dimension, that is such that is the distances between the coordinates on the - axis , is the distances between the coordinates on the - axis and is the distances between the coordinates on the - axis ) , which we called it we can depend on it to evalute triple integrals when the integrands are Continuous and it give high accuarcy with little period