Research Article | OPEN ACCESS
Numerical Treatment of Analytic Functions via Mixed Quadrature Rule
Saumya Ranjan Jena and Prabhas Dash
Department of Mathematics, School of Applied Science, KIIT University, Bhubaneswar-751024,
Odisha, India
Research Journal of Applied Sciences, Engineering and Technology 2015 4:391-392
Received: November 30, 2014 | Accepted: January 8, 2015 | Published: June 05, 2015
Abstract
A mixed quadrature rule of degree of precision seven by using Birkhoff-Young and Cleanshaw Curtis five point rules is formed. The mixed rule has been tested and found to be more effective than, that of its constituent rules for the numerical evaluation of an analytic function over a line segment in the complex plane. An asymptotic error estimate of the rule has been determined and the rule has been numerically verified.
Keywords:
Analytic function, asymptotic error, numerical integration, quadrature rule,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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