IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/5546666.html
   My bibliography  Save this article

Approximation of Elliptic Functions by Means of Trigonometric Functions with Applications

Author

Listed:
  • Alvaro H. Salas
  • Lorenzo J. H. Martinez
  • David L. R. Ocampo R.

Abstract

In this work, we give approximate expressions for Jacobian and elliptic Weierstrass functions and their inverses by means of the elementary trigonometric functions, sine and cosine. Results are reasonably accurate. We show the way the obtained results may be applied to solve nonlinear ODEs and other problems arising in nonlinear physics. The importance of the results in this work consists on giving easy and accurate way to evaluate the main elliptic functions cn, sn, and dn, as well as the Weierstrass elliptic function and their inverses. A general principle for solving some nonlinear problems through elementary functions is stated. No similar approach has been found in the existing literature.

Suggested Citation

  • Alvaro H. Salas & Lorenzo J. H. Martinez & David L. R. Ocampo R., 2021. "Approximation of Elliptic Functions by Means of Trigonometric Functions with Applications," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-16, October.
    • Handle: RePEc:hin:jnlmpe:5546666
    DOI: 10.1155/2021/5546666
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2021/5546666.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2021/5546666.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/5546666?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
    ---><---

    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:hin:jnlmpe:5546666. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.