New Derivative Based Open Newton-Cotes Quadrature Rules
Joint Authors
Saleem, Saira
Burg, Clarence O. E.
Zafar, Fiza
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-03
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zafar, Fiza& Saleem, Saira& Burg, Clarence O. E.. 2014. New Derivative Based Open Newton-Cotes Quadrature Rules. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1033530
Modern Language Association (MLA)
Zafar, Fiza…[et al.]. New Derivative Based Open Newton-Cotes Quadrature Rules. Abstract and Applied Analysis No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1033530
American Medical Association (AMA)
Zafar, Fiza& Saleem, Saira& Burg, Clarence O. E.. New Derivative Based Open Newton-Cotes Quadrature Rules. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1033530
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033530