IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/357829.html
   My bibliography  Save this article

Nonlinear Inverse Problem for an Ion-Exchange Filter Model: Numerical Recovery of Parameters

Author

Listed:
  • Balgaisha Mukanova
  • Natalya Glazyrina

Abstract

This paper considers the problem of identifying unknown parameters for a mathematical model of an ion-exchange filter via measurement at the outlet of the filter. The proposed mathematical model consists of a material balance equation, an equation describing the kinetics of ion-exchange for the nonequilibrium case, and an equation for the ion-exchange isotherm. The material balance equation includes a nonlinear term that depends on the kinetics of ion-exchange and several parameters. First, a numerical solution of the direct problem, the calculation of the impurities concentration at the outlet of the filter, is provided. Then, the inverse problem, finding the parameters of the ion-exchange process in nonequilibrium conditions, is formulated. A method for determining the approximate values of these parameters from the impurities concentration measured at the outlet of the filter is proposed.

Suggested Citation

  • Balgaisha Mukanova & Natalya Glazyrina, 2015. "Nonlinear Inverse Problem for an Ion-Exchange Filter Model: Numerical Recovery of Parameters," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, October.
    • Handle: RePEc:hin:jnlmpe:357829
    DOI: 10.1155/2015/357829
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2015/357829.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2015/357829.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/357829?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:357829. 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.