Using a numerical method for derivation trapezoidal rule for evaluating double integrations are continuous but integrands with singular partial derivatives.

The primary purpose of this study is to develop a rule for determining the values of double integrals, its integrals with continuous integrands but have singularity at partial derivatives, numerically using the Trapezoidal rule, you are not at the end of the integration region. with the two dimensions x and y. and the derive the correction error terms and we used Romberg acceleration [3], [9] to enhance the outcomes when the number of sub-intervals, the sub-intervals in the direction of dimension y are equal to sub-intervals in the direction of dimension x. We'll refer to this method as RTT, and we can rely on it because it produced high precision results in terms of analytical integration values and small sub-intervals. [ABSTRACT FROM AUTHOR]