IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v376y2020ics0096300320300850.html
   My bibliography  Save this article

A new family of explicit linear two-step singularly P-stable Obrechkoff methods for the numerical solution of second-order IVPs

Author

Listed:
  • Shokri, Ali
  • Mehdizadeh Khalsaraei, Mohammad

Abstract

According to Lambert and Watson [6], Theorem 4 says that the linear multistep P-stable methods can not be explicit; they must be implicit and being implicit is the essential condition to obtain important feature of P-stability. Few explicit P-stable methods have been created in which they are nonlinear or at most P-stable. For the first time in literature, in this paper, we create a new family of explicit linear two-step singularly P-stable methods with phase-lag of order infinity for the numerical solution of initial value problems of second-order ordinary differential equations. Finally, the numerical results obtained by the new family for some well-known problems show its superiority in efficiency, accuracy, convergency and stability.

Suggested Citation

  • Shokri, Ali & Mehdizadeh Khalsaraei, Mohammad, 2020. "A new family of explicit linear two-step singularly P-stable Obrechkoff methods for the numerical solution of second-order IVPs," Applied Mathematics and Computation, Elsevier, vol. 376(C).
    • Handle: RePEc:eee:apmaco:v:376:y:2020:i:c:s0096300320300850
    DOI: 10.1016/j.amc.2020.125116
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300320300850
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2020.125116?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. T. E. Simos, 2007. "Stabilization Of A Four-Step Exponentially-Fitted Method And Its Application To The Schrödinger Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 315-328.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Khalsaraei, Mohammad Mehdizadeh & Shokri, Ali & Ramos, Higinio & Heydari, Shahin, 2021. "A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 397-410.

    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.

      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:eee:apmaco:v:376:y:2020:i:c:s0096300320300850. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

      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.