Centroidal Mean Derivative - Based Closed Newton Cotes Quadrature
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 5 Issue 8, August 2016 | Popularity: 6.8 / 10


     

Centroidal Mean Derivative - Based Closed Newton Cotes Quadrature

T. Ramachandran, R. Parimala


Abstract: In this paper, a new scheme of the evaluation of numerical integration by using Centroidal mean derivative - based closed Newton Cotes quadrature rule (CMDCNC) is presented in which the centroidal mean is used for the computation of function derivative. The accuracy of these numerical formulas are higher than the existing closed Newton Cotes quadrature (CNC) fromula. The error terms are also obtained by using the concept of precision. Comparisions are made between the existing closed Newton Cotes formula and the centroidal mean derivative - based closed Newton Cotes quadrature formula by using the numerical examples.


Keywords: Closed Newton-Cotes formula, Error terms, Centroidal mean derivative, Numerical examples, Numerical integration


Edition: Volume 5 Issue 8, August 2016


Pages: 338 - 343



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T. Ramachandran, R. Parimala, "Centroidal Mean Derivative - Based Closed Newton Cotes Quadrature", International Journal of Science and Research (IJSR), Volume 5 Issue 8, August 2016, pp. 338-343, https://www.ijsr.net/getabstract.php?paperid=ART2016812, DOI: https://www.doi.org/10.21275/ART2016812

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