Joint quadrature for approximate computation of line integral

Sunita Nayak; Saumya Ranjan Jena

Sunita Nayak School of Applied Sciences,\\ KIIT Deemed to be University, Bhubaneswar-751024, Odisha, India\\
Saumya Ranjan Jena School of Applied Sciences,\\ KIIT Deemed to be University, Bhubaneswar-751024, Odisha, India\\

Abstract

In this paper, a mathematical model is designed for numerical solution of line integral over any closed region with the joint application of join quadrature rule and Green's Theorem. The joint quadrature rule of higher precision five is developed with the couple of Newtonian and Gaussian rule of lower precision each. The joint quadrature is also compared with Clenshaw Curtis-5 point rule and performed better than Clenshaw Curtis-5 point rule The efficiency of the present scheme is tested over five problems and found to be excellent approach towards exact result. The error analysis is also implemented to validate the scheme.