IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/8267951.html
   My bibliography  Save this article

PSEM Approximations for Both Branches of Lambert Function with Applications

Author

Listed:
  • H. Vazquez-Leal
  • M. A. Sandoval-Hernandez
  • J. L. Garcia-Gervacio
  • A. L. Herrera-May
  • U. A. Filobello-Nino

Abstract

Transcendental functions are a fundamental building block of science and engineering. Among them, a relatively new function denominated as Lambert is highlighted. The importance of such function relies on the fact that it can perform novel isolation of variables. In this work, we propose two accurate piece-wise approximate solutions, one for the lower branch and another one for the upper branch, respectively. The proposed analytic approximations are obtained by using the power series extender method (PSEM) in combination with asymptotic solutions. In addition, we will compare some published approximations with our proposal, highlighting our advantages in terms of significant digits and speed of evaluation. Furthermore, the approximations are validated by the successful simulation of a problem of economy and other acoustic waves of nonlinear ions.

Suggested Citation

  • H. Vazquez-Leal & M. A. Sandoval-Hernandez & J. L. Garcia-Gervacio & A. L. Herrera-May & U. A. Filobello-Nino, 2019. "PSEM Approximations for Both Branches of Lambert Function with Applications," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-15, March.
    • Handle: RePEc:hin:jnddns:8267951
    DOI: 10.1155/2019/8267951
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2019/8267951.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2019/8267951.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/8267951?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
    ---><---

    Citations

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


    Cited by:

    1. Dejan Brkić & Pavel Praks, 2019. "Accurate and Efficient Explicit Approximations of the Colebrook Flow Friction Equation Based on the Wright ω-Function: Reply to Discussion," Mathematics, MDPI, vol. 7(5), pages 1-7, May.
    2. Jamilla, Cristeta & Mendoza, Renier & Mező, István, 2020. "Solutions of neutral delay differential equations using a generalized Lambert W function," Applied Mathematics and Computation, Elsevier, vol. 382(C).
    3. Lóczi, Lajos, 2022. "Guaranteed- and high-precision evaluation of the Lambert W function," Applied Mathematics and Computation, Elsevier, vol. 433(C).

    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:jnddns:8267951. 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.