Adaptive Quadrature on Line Integral in engineering

Abstract

In this note, a rule for double integrals of precision-7 is investigated using precision-5 rules on different integrals with the help of adaptive technique for any vector function using Green’s theorem for approximate evaluation of line integral. The rule is reasonable coincident with the single rule (5 point Clenshaw-Curtis rule). Convergence analysis as well as numerical experiments is also carried out through several examples.