IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n109138.html

New Derivative Based Open Newton‐Cotes Quadrature Rules

Author

Listed:
  • Fiza Zafar
  • Saira Saleem
  • Clarence O. E. Burg

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.

Suggested Citation

  • Fiza Zafar & Saira Saleem & Clarence O. E. Burg, 2014. "New Derivative Based Open Newton‐Cotes Quadrature Rules," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:109138
    DOI: 10.1155/2014/109138
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/109138
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/109138?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Weijing Zhao & Hongxing Li, 2013. "Midpoint Derivative‐Based Closed Newton‐Cotes Quadrature," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Weijing Zhao & Hongxing Li, 2013. "Midpoint Derivative-Based Closed Newton-Cotes Quadrature," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Young-Doo Kwon & Soon-Bum Kwon & Bo-Kyung Shim & Hyun-Wook Kwon, 2013. "Comprehensive Interpretation of a Three‐Point Gauss Quadrature with Variable Sampling Points and Its Application to Integration for Discrete Data," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:109138. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.