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

Debasish Das; Pritikanta Patra; Rajani Ballav Dash

doi:10.26637/mjm303/001

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

Mathematics Subject Classification:

65D30, 65D32

Authors Imprint References Funding Related Articles Downloads

Debasish Das Department of Mathematics, Ravenshaw University, Cuttack-753003, Odisha, India.
Pritikanta Patra Department of Mathematics, Ravenshaw University, Cuttack-753003, Odisha, India.
Rajani Ballav Dash Department of Mathematics, Ravenshaw University, Cuttack-753003, Odisha, India.

Pages: 224-232
Date Published: 01-07-2015
Vol. 3 No. 03 (2015): Malaya Journal of Matematik (MJM)

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