IDEAS home Printed from https://ideas.repec.org/a/bjf/journl/v8y2023i6p94-108.html
   My bibliography  Save this article

On New Runge-Kutta Second and Third Orders for Solving First Order ODE

Author

Listed:
  • Modiu A. MOHAMMED

    (Department of Mathematics, Yaba College of Technology, P.M.B. 2011, Yaba, Lagos, Nigeria)

  • Johnson F. BAIYERI

    (Department of Mathematics, Yaba College of Technology, P.M.B. 2011, Yaba, Lagos, Nigeria)

  • Olayinka M. AYENI

    (Department of Mathematics, Yaba College of Technology, P.M.B. 2011, Yaba, Lagos, Nigeria)

  • Ismaila S. AMUSA

    (Department of Mathematics, Yaba College of Technology, P.M.B. 2011, Yaba, Lagos, Nigeria)

  • Temitope O. OGUNBAYO

    (Department of Mathematics, Yaba College of Technology, P.M.B. 2011, Yaba, Lagos, Nigeria)

Abstract

Runge-Kutta methods are iterative methods for the approximation of solutions of ODE’s that were developed around 1900 by the German Mathematicians C. Runge (1856–1927) and M.W. Kutta (1867–1944). Runge-Kutta methods provide a popular way to solve the initial value problem for a system of ordinary differential equations and many Mathematicians have developed these methods in different ways. In this research work, we gave the overview of Runge-Kutta second and third orders in a simplified way and obtained new Runge-Kutta methods for these orders; our new schemes are better than the previous results obtained on the method.

Suggested Citation

  • Modiu A. MOHAMMED & Johnson F. BAIYERI & Olayinka M. AYENI & Ismaila S. AMUSA & Temitope O. OGUNBAYO, 2023. "On New Runge-Kutta Second and Third Orders for Solving First Order ODE," International Journal of Research and Innovation in Applied Science, International Journal of Research and Innovation in Applied Science (IJRIAS), vol. 8(6), pages 94-108, June.
    • Handle: RePEc:bjf:journl:v:8:y:2023:i:6:p:94-108
    as

    Download full text from publisher

    File URL: https://www.rsisinternational.org/journals/ijrias/digital-library/volume-8-issue-6/94-108.pdf
    Download Restriction: no
    File URL: https://www.rsisinternational.org/virtual-library/papers/on-new-runge-kutta-second-and-third-orders-for-solving-first-order-ode/?utm_source=Netcore&utm_medium=Email&utm_content=sscollections25oct&utm_campaign=First&_gl=1*ai6zq*_gcl_au*Nzg3MDc3MjYxLjE3MDIwMTAzMzE.*_ga*MTA1MTkzODcwMi4xNjk0MTkxNTI0*_ga_J3C1TKKSZ0*MTcwNzg5MDc3MC4yNDMuMC4xNzA3ODkwNzc1LjU1LjAuMA..&_ga=2.170127456.1939239374.1707887915-1051938702.1694191524
    Download Restriction: no
    ---><---

    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:bjf:journl:v:8:y:2023:i:6:p:94-108. 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: Dr. Renu Malsaria (email available below). General contact details of provider: https://rsisinternational.org/journals/ijrias/ .

    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.