IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/8130940.html
   My bibliography  Save this article

Two Computational Strategies for the Approximate Solution of the Nonlinear Gas Dynamic Equations

Author

Listed:
  • Muhammad Nadeem
  • Mouad M. H. Ali
  • Arzu Akbulut

Abstract

In this article, we propose an idea of Sawi homotopy perturbation transform method (SHPTM) to derive the analytical results of nonlinear gas dynamic (GD) equations. The implementation of this numerical scheme is straightforward and produces the results directly without any assumptions and hypothesis in the recurrence relation. Sawi transform (ST) has an advantage of reducing the computational work and the error of estimated results towards the precise solution. The results obtained with this approach are in the shape of an iteration that converges to the precise solution very gradually. We provide the validity and accuracy of this scheme with the help of illustrated examples and their graphical results. This scheme has shown to be the simplest approach for achieving the analytical results of nonlinear problems in science and engineering.

Suggested Citation

  • Muhammad Nadeem & Mouad M. H. Ali & Arzu Akbulut, 2022. "Two Computational Strategies for the Approximate Solution of the Nonlinear Gas Dynamic Equations," Journal of Mathematics, Hindawi, vol. 2022, pages 1-7, October.
  • Handle: RePEc:hin:jjmath:8130940
    DOI: 10.1155/2022/8130940
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2022/8130940.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/jmath/2022/8130940.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2022/8130940?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:jjmath:8130940. 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.