IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/805278.html
   My bibliography  Save this article

A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications

Author

Listed:
  • Moin-ud-Din Junjua
  • Saima Akram
  • Nusrat Yasmin
  • Fiza Zafar

Abstract

Solving systems of nonlinear equations plays a major role in engineering problems. We present a new family of optimal fourth-order Jarratt-type methods for solving nonlinear equations and extend these methods to solve system of nonlinear equations. Convergence analysis is given for both cases to show that the order of the new methods is four. Cost of computations, numerical tests, and basins of attraction are presented which illustrate the new methods as better alternates to previous methods. We also give an application of the proposed methods to well-known Burger's equation.

Suggested Citation

  • Moin-ud-Din Junjua & Saima Akram & Nusrat Yasmin & Fiza Zafar, 2015. "A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications," Journal of Applied Mathematics, Hindawi, vol. 2015, pages 1-14, March.
    • Handle: RePEc:hin:jnljam:805278
    DOI: 10.1155/2015/805278
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2015/805278.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2015/805278.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/805278?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ramandeep Behl & Alicia Cordero & Juan R. Torregrosa & Ali Saleh Alshomrani, 2018. "New Iterative Methods for Solving Nonlinear Problems with One and Several Unknowns," Mathematics, MDPI, vol. 6(12), pages 1-17, December.
    2. José J. Padilla & Francisco I. Chicharro & Alicia Cordero & Alejandro M. Hernández-Díaz & Juan R. Torregrosa, 2024. "A Class of Efficient Sixth-Order Iterative Methods for Solving the Nonlinear Shear Model of a Reinforced Concrete Beam," Mathematics, MDPI, vol. 12(3), pages 1-16, February.
    3. Ioannis K. Argyros & Ramandeep Behl, 2019. "Ball Comparison for Some Efficient Fourth Order Iterative Methods Under Weak Conditions," Mathematics, MDPI, vol. 7(1), pages 1-14, January.
    4. Janak Raj Sharma & Deepak Kumar & Ioannis K. Argyros, 2019. "Local Convergence and Attraction Basins of Higher Order, Jarratt-Like Iterations," Mathematics, MDPI, vol. 7(12), pages 1-16, December.

    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:805278. 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.