Title: A mixed quadrature rule blending Lobatto and Gauss-Legendre three-point rule for approximate evaluation of real definite integrals

Authors: Arun Kumar Tripathy; Rajani Ballav Dash; Amarendra Baral

Addresses: Department of Mathematics, Trident Academy of Technology, F2/A, Chandaka Industrial Estate, In front of Infocity, Patia, Bhubaneswar 751024, India ' Institute of Mathematics and Applications, Andharua, Bhubaneswar, Pin-751003, Odisha, India ' Department of Mathematics, Trident Academy of Technology, F2/A, Chandaka Industrial Estate, In front of Infocity, Patia, Bhubaneswar 751024, India

Abstract: In this paper, a mixed quadrature rule of precision seven has been designed by the linear combination of two rules of precision five. The error analysis of these two formulas has been incorporated. Through some numerical examples the effectiveness of the mixed quadrature rule over its constituent ones has been shown.

Keywords: mixed quadrature rule; Lobatto quadrature rule; Gauss-Legendre three-point rule; degree of precision; error analysis; real definite integrals.

DOI: 10.1504/IJCSM.2015.071809

International Journal of Computing Science and Mathematics, 2015 Vol.6 No.4, pp.366 - 377

Received: 16 May 2013
Accepted: 25 Jan 2014
Published online: 19 Sep 2015 *

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