A comparative study of Gauss‒Laguerre quadrature and an open type mixed quadrature by evaluating some improper integrals

Authors : Pritikanta Patra, Debasish Das, Rajani Ballav Dash

Pages : 293-306

View : 12 | Download : 8

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :An open type mixed quadrature rule is constructed blending the anti-Gauss 3-point rule with Steffensen's 4-point rule. The analytical convergence of the mixed rule is studied. An adaptive integration scheme is designed based on the mixed quadrature rule. A comparative study of the mixed quadrature rule and the Gauss‒Laguerre quadrature rule is given by evaluating several improper integrals of the form $\int\limits_{0}^{\infty}e^{-x}f(x)dx$. The advantage of implementing mixed quadrature rule in developing an efficient adaptive integration scheme is shown by evaluating some improper integrals.
Keywords : Anti-Gaussian quadrature rule, mixed quadrature rule, adaptive integration scheme, improper integrals, Steffensen's quadrature, Gauss‒Laguerre quadrature