IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/9917774.html
   My bibliography  Save this article

An Analytical Study on Two High-Order Hybrid Methods to Solve Systems of Nonlinear Equations

Author

Listed:
  • Hooman Darvishi
  • M. T. Darvishi
  • Mubashir Qayyum

Abstract

In order to solve systems of nonlinear equations, two novel iterative methods are presented. The successive over-relaxation method and the Chebyshev-like iterative methods to solve systems of nonlinear equations have combined to obtain the new algorithms. By this combination, two powerful hybrid methods are obtained. Necessary conditions for convergence of these methods are presented. Furthermore, the stability analysis of both algorithms is investigated. These algorithms are applied for solving two real stiff systems of ordinary differential equations. These systems arise from an HIV spreading model and an SIR model of an epidemic which formulates the spread of a nonfatal disease in a certain population. Numerical results show promising convergence and stability for both new hybrid methods.

Suggested Citation

  • Hooman Darvishi & M. T. Darvishi & Mubashir Qayyum, 2023. "An Analytical Study on Two High-Order Hybrid Methods to Solve Systems of Nonlinear Equations," Journal of Mathematics, Hindawi, vol. 2023, pages 1-18, March.
    • Handle: RePEc:hin:jjmath:9917774
    DOI: 10.1155/2023/9917774
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2023/9917774.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2023/9917774.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/9917774?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:9917774. 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.