IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/614796.html
   My bibliography  Save this article

New Analytic Solution to the Lane-Emden Equation of Index 2

Author

Listed:
  • S. S. Motsa
  • S. Shateyi

Abstract

We present two new analytic methods that are used for solving initial value problems that model polytropic and stellar structures in astrophysics and mathematical physics. The applicability, effectiveness, and reliability of the methods are assessed on the Lane-Emden equation which is described by a second-order nonlinear differential equation. The results obtained in this work are also compared with numerical results of Horedt (1986) which are widely used as a benchmark for testing new methods of solution. Good agreement is observed between the present results and the numerical results. Comparison is also made between the proposed new methods and existing analytical methods and it is found that the new methods are more efficient and have several advantages over some of the existing analytical methods.

Suggested Citation

  • S. S. Motsa & S. Shateyi, 2012. "New Analytic Solution to the Lane-Emden Equation of Index 2," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-19, March.
    • Handle: RePEc:hin:jnlmpe:614796
    DOI: 10.1155/2012/614796
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2012/614796.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2012/614796.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/614796?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:614796. 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.