Gauss-Mamadu-Njoseh Quadrature Formula for Numerical Integral Interpolation

The use of orthogonal polynomials has paved way for researchers to solve complex mathematical formulations expressed in integral and differential forms. In this article, the Gauss-Mamadu-Njoseh quadrature formula is derived for the numerical treatment of integral interpolation. Here, the Mamadu-Njoseh orthogonal polynomials are employed as basis functions to achieve interpolation points for the derived formula. The derived formula offers several advantages such that precision and stability. The method was tested on some selected definite integral equations with numerical evidences showing the effectiveness and accuracy of the derived formula.