New Derivative Based Open Newton-Cotes Quadrature Rules

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....

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Bibliographic Details
Main Authors: Fiza Zafar, Saira Saleem, Clarence O. E. Burg
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/109138