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

AUTHOR AND
AFFILIATION

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)

KEYWORDS:

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

Issue Date:

February 2020

Pages:

6-12

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.32 – No.2

PDF

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DOI:

http://dx.doi.org/10.22147/jusps-A/320201

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.

Copy the following to cite this Article:

S. K. Mohanty; R. B. Dash, “A Mixed Quadrature Rule using Clenshaw-Curtis five point Rule Modified by Richardson Extrapolation”, Journal of Ultra Scientist of Physical Sciences, Volume 32, Issue 2, Page Number 6-12, 2020


Copy the following to cite this URL:

S. K. Mohanty; R. B. Dash, “A Mixed Quadrature Rule using Clenshaw-Curtis five point Rule Modified by Richardson Extrapolation”, Journal of Ultra Scientist of Physical Sciences, Volume 32, Issue 2, Page Number 6-12, 2020

Available from: http://www.ultrascientist.org/paper/1525/