A Mixed Quadrature Rule by Blending Clenshaw-Curtis and Gauss-Legendre Quadrature Rules for Approximate Evaluation of Real Definite Integrals in Two Dimensions

AUTHOR AND
AFFILIATION

1PRITIKANTA PATRA and 2 RAJANI BALLAV DASH
Address 1,2 : Department of Mathematics, Ravenshaw University, Cuttack-753003, Odisha, India

1E-mail: 1 pritikanta@yahoo.com, 2 rajani_bdash@gmail.com

KEYWORDS:

Clenshaw-Curtis quadrature rule 2 ( ) 5 R f CC , Gauss-Legendre three point rule ( ) 2 3 R f GL , mixed quadrature rule 2 ( ) 5 3 R f CC GL .Subject classification: 65D30, 65D32

Issue Date:

October, 2016

Pages:

ISSN:

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

Source:

Vol.28 – No.5

PDF

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DOI:

http://dx.doi.org/10.22147/jusps-A/280506

ABSTRACT:

A mixed quadrature rule, blending Clenshaw-Curtis five point rule in two dimensions and Gauss-Legendre three point rule in two dimensions, is formed. The mixed rule has been imposed with some test integrals and found to be more effective than that of its constituent rules.

Copy the following to cite this Article:

1PRITIKANTA PATRA and 2 RAJANI BALLAV DASH, “A Mixed Quadrature Rule by Blending Clenshaw-Curtis and Gauss-Legendre Quadrature Rules for Approximate Evaluation of Real Definite Integrals in Two Dimensions”, Journal of Ultra Scientist of Physical Sciences, Volume 28, Issue 5, Page Number , 2016


Copy the following to cite this URL:

1PRITIKANTA PATRA and 2 RAJANI BALLAV DASH, “A Mixed Quadrature Rule by Blending Clenshaw-Curtis and Gauss-Legendre Quadrature Rules for Approximate Evaluation of Real Definite Integrals in Two Dimensions”, Journal of Ultra Scientist of Physical Sciences, Volume 28, Issue 5, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/598/


A mixed quadrature rule, blending Clenshaw-Curtis five point rule in two dimensions and Gauss-Legendre three point rule in two dimensions, is formed. The mixed rule has been imposed with some test integrals and found to be more effective than that of its constituent rules.