A Mixed Quadrature Rule using Clenshaw-Curtis five point Rule Modified by Richardson Extrapolation
Author & 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)
Keyword:
Clenshaw-Curtis quadrature rule, Gauss-Legendre 4-point rule, Richardson Extrapolation, Subject classification: 65D32
Issue Date:
February 2020
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.
Pages:
6-12
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
http://dx.doi.org/10.22147/jusps-A/320201
Share This:
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, 2020Copy 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, 2020Available from: https://www.ultrascientist.org/paper/1525/
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License
