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2014 New Derivative Based Open Newton-Cotes Quadrature Rules
Fiza Zafar, Saira Saleem, Clarence O. E. Burg
Abstr. Appl. Anal. 2014: 1-16 (2014). DOI: 10.1155/2014/109138

Abstract

Some new families of open Newton-Cotes rules which involve the combinations of function values and the evaluation of derivative at uniformly spaced points of the interval are presented. The order of accuracy of these numerical formulas is higher than that of the classical open Newton-Cotes formulas. An extensive comparison of the computational cost, order of accuracy, error terms, coefficients of the error terms, observed order of accuracy, CPU usage time, and results obtained from these formulas is given. The comparisons show that we have been able to define some new open Newton-Cotes rules which are superior to classical open rules for less number of nodes and less computational cost with increased order of accuracy.

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Fiza Zafar. Saira Saleem. Clarence O. E. Burg. "New Derivative Based Open Newton-Cotes Quadrature Rules." Abstr. Appl. Anal. 2014 1 - 16, 2014. https://doi.org/10.1155/2014/109138

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021750
MathSciNet: MR3178845
Digital Object Identifier: 10.1155/2014/109138

Rights: Copyright © 2014 Hindawi

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