IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i16p2952-d889328.html
   My bibliography  Save this article

Constructing a Class of Frozen Jacobian Multi-Step Iterative Solvers for Systems of Nonlinear Equations

Author

Listed:
  • R. H. Al-Obaidi

    (Department of Mathematics, Faculty of Science, Razi University, Kermanshah 67149, Iran)

  • M. T. Darvishi

    (Department of Mathematics, Faculty of Science, Razi University, Kermanshah 67149, Iran)

Abstract

In this paper, in order to solve systems of nonlinear equations, a new class of frozen Jacobian multi-step iterative methods is presented. Our proposed algorithms are characterized by a highly convergent order and an excellent efficiency index. The theoretical analysis is presented in detail. Finally, numerical experiments are presented for showing the performance of the proposed methods, when compared with known algorithms taken from the literature.

Suggested Citation

  • R. H. Al-Obaidi & M. T. Darvishi, 2022. "Constructing a Class of Frozen Jacobian Multi-Step Iterative Solvers for Systems of Nonlinear Equations," Mathematics, MDPI, vol. 10(16), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2952-:d:889328
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/16/2952/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/16/2952/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ullah, Malik Zaka & Serra-Capizzano, Stefano & Ahmad, Fayyaz, 2015. "An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 249-259.
    2. Alicia Cordero & Cristina Jordán & Esther Sanabria & Juan R. Torregrosa, 2019. "A New Class of Iterative Processes for Solving Nonlinear Systems by Using One Divided Differences Operator," Mathematics, MDPI, vol. 7(9), pages 1-12, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fayyaz Ahmad & Shafiq Ur Rehman & Malik Zaka Ullah & Hani Moaiteq Aljahdali & Shahid Ahmad & Ali Saleh Alshomrani & Juan A. Carrasco & Shamshad Ahmad & Sivanandam Sivasankaran, 2017. "Frozen Jacobian Multistep Iterative Method for Solving Nonlinear IVPs and BVPs," Complexity, Hindawi, vol. 2017, pages 1-30, May.
    2. Howk, Cory L., 2016. "A class of efficient quadrature-based predictor–corrector methods for solving nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 394-406.

    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:gam:jmathe:v:10:y:2022:i:16:p:2952-:d:889328. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.