Numerical Investigation, Error Analysis and Application of Joint Quadrature Scheme in Physical Sciences

In this work, a joint quadrature for numerical solution of the double integral is presented. This method based on combining two rules same precision level to form higher precision. Numerical results present with lower are presented and compared those performed by existing high-precision Gauss-Legendre five-point rule in variables, which has functional evaluation. The efficiency proposed justified examples. From an application point view, determination center gravity special consideration scheme. Convergence analysis demonstrated validate current method.