IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/6664307.html
   My bibliography  Save this article

Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method

Author

Listed:
  • Indranil Ghosh
  • M. S. H. Chowdhury
  • Suazlan Mt Aznam
  • M. M. Rashid

Abstract

Pollution has become an intense danger to our environment. The lake pollution model is formulated into the three-dimensional system of differential equations with three instances of input. In the present study, the new iterative method (NIM) was applied to the lake pollution model with three cases called impulse input, step input, and sinusoidal input for a longer time span. The main feature of the NIM is that the procedure is very simple, and it does not need to calculate any special type of polynomial or multipliers such as Adomian polynomials and Lagrange’s multipliers. Comparisons with the Adomian decomposition method (ADM) and the well-known purely numerical fourth-order Runge-Kutta method (RK4) suggest that the NIM is a powerful alternative for differential equations providing more realistic series solutions that converge very rapidly in real physical problems.

Suggested Citation

  • Indranil Ghosh & M. S. H. Chowdhury & Suazlan Mt Aznam & M. M. Rashid, 2021. "Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method," Journal of Applied Mathematics, Hindawi, vol. 2021, pages 1-16, June.
    • Handle: RePEc:hin:jnljam:6664307
    DOI: 10.1155/2021/6664307
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2021/6664307.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2021/6664307.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/6664307?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:jnljam:6664307. 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.