Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2017
  • Volume: 36e
  • Issue: 1

On Use of Mixed Rule in An Adaptive Integration Scheme

Department of Mathematics, Ravenshaw University, Cuttack-753003, Odisha, India

*Corresponding Author: Dwiti Krushna Behera, Department of Mathematics, Ravenshaw University, Cuttack-753003, Odisha, India, E-mail: dwiti78@gmail.com

**debasisdas100@gmail.com

***rajani_bdash@rediffmail.com

2000 Mathematics Subject Classification: 65D30, 65D32

Abstract

In this paper, we introduce a mixed quadrature rule using Fejer's second rule and Gaussian rule. This rule is taken as the base rule to develop an adaptive integration scheme. Using this scheme, some test integrals have been evaluated. The results are found to be more encouraging as compared to those obtained by using some other quadratures in this integration scheme.

Keywords

Fejer's second quadrature rule, Gaussian rule, mixed quadrature rule, Clenshaw-Curtis 5-point, Adaptive quadrature