An adaptive integration scheme using a mixed quadrature of three different quadrature rules

Debasish Das,a, *Pritikanta Patraa and Rajani Ballav Dashb

An adaptive integration scheme using a mixed quadrature of three different quadrature rules

Authors :

Debasish Das,^{a, *}Pritikanta Patra^a and Rajani Ballav Dash^b

Author Address :

^a,bDepartment of Mathematics, Ravenshaw University, Cuttack-753003, Odisha, India.

*Corresponding author.

Abstract :

In the present work,a mixed quadrature rule of precision seven is constructed blending Gauss-Legendre 2-point rule, Fejer’s first and second 3-point rules each having precision three.The error analysis of the mixed rule is incorporated.An algorithm is designed for adaptive integration scheme using the mixed quadrature rule.Through some numerical examples,the effectiveness of adopting mixed quadrature rule in place of their constituent rules in the adaptive integration scheme is discussed.

Keywords :

Gauss-Legendre quadrature, Fejer’s quadrature, mixed quadrature and adaptive integration scheme

DOI :

Article Info :

Received : October 10, 2014; Accepted : May 23, 2015.