Category: Issue 2

Issue 2, Volume 32

A Mixed Quadrature Rule using Clenshaw-Curtis five point Rule Modified by Richardson Extrapolation

SANJIT KU. MOHANTY
Head of Department of Mathematics B.S. Degree College, Nuahat, Jajpur-754296,Odisha (India)
RAJANI BALLAV DASH
Visiting Faculty, Department of Mathematics, Ravenshaw University, Cuttack, Odisha (India)

ABSTRACT:

A mixed quadrature rule of precision nine for approximate evaluation of real definite integrals has been constructed by blending Clenshaw-Curtis five point rule modified by Richardson Extrapolation and GaussLegendre four point rule. An error analysis for this mixed rule is provided. The efficiency of this rule is highlighted through numerical evaluation of some definite integrals at the end.

KEYWORDS: Clenshaw-Curtis quadrature rule, Gauss-Legendre 4-point rule, Richardson Extrapolation, Subject classification: 65D32