IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v281y2016icp121-129.html
   My bibliography  Save this article

A novel computational hybrid approach in solving Hankel transform

Author

Listed:
  • Irfan, Nagma
  • Siddiqi, A.H.

Abstract

In this paper, we use a combination of Taylor and block-pulse functions on the interval [0, 1], that is called Hybrid Functions to estimate fast and stable solution of Hankel transform. First hybrid of Block-Pulse and Taylor polynomial basis is obtained and orthonormalized using Gram–Schmidt process which are used as basis to expand a part of the integrand,rf(r) appearing in the Hankel transform integral. Thus transforming the integral into a Fourier–Bessel series. Truncating the series, an efficient stable algorithm is obtained for the numerical evaluation of the Hankel transforms of orderν>−1. The novelty of our method is that we give error analysis and stability of the hybrid algorithm and corroborate our theoretical findings by various numerical experiments for the first time. The solutions obtained by projected method indicate that the approach is easy to implement and computationally very attractive.

Suggested Citation

  • Irfan, Nagma & Siddiqi, A.H., 2016. "A novel computational hybrid approach in solving Hankel transform," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 121-129.
  • Handle: RePEc:eee:apmaco:v:281:y:2016:i:c:p:121-129
    DOI: 10.1016/j.amc.2016.01.028
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300316300285
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2016.01.028?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chen, Ruyun & Xiang, Shuhuang & Kuang, Xuesong, 2019. "On evaluation of oscillatory transforms from position to momentum space," Applied Mathematics and Computation, Elsevier, vol. 344, pages 183-190.

    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:eee:apmaco:v:281:y:2016:i:c:p:121-129. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.