IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v232y2014icp929-943.html
   My bibliography  Save this article

Accurate calculation of the solutions to the Thomas–Fermi equations

Author

Listed:
  • Amore, Paolo
  • Boyd, John P.
  • Fernández, Francisco M.

Abstract

We obtain highly accurate solutions to the Thomas–Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé–Hankel method, numerical integration, power series with Padé and Hermite–Padé approximants and Chebyshev polynomials. Both the slope at origin and the location of the right boundary in the magnetic-field case are given with unprecedented accuracy.

Suggested Citation

  • Amore, Paolo & Boyd, John P. & Fernández, Francisco M., 2014. "Accurate calculation of the solutions to the Thomas–Fermi equations," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 929-943.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:929-943
    DOI: 10.1016/j.amc.2014.01.137
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300314001829
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2014.01.137?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. Seiler, Werner M. & Seiß, Matthias, 2024. "On the numerical integration of singular initial and boundary value problems for generalised Lane–Emden and Thomas–Fermi equations," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    2. Zhao, Tengjin & Zhang, Zhiyue & Wang, Tongke, 2021. "A hybrid augmented compact finite volume method for the Thomas–Fermi equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 760-773.

    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:232:y:2014:i:c:p:929-943. 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.