IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-031-16560-3_9.html
   My bibliography  Save this book chapter

Ordinary Differential Equations

In: Algorithms with JULIA

Author

Listed:
  • Clemens Heitzinger

    (Technische Universität Wien, Center for Artificial Intelligence and Machine Learning (CAIML) and Department of Mathematics and Geoinformation)

Abstract

Differential equations are among the most successful models in physics, chemistry, biology, engineering, and many other fields. This chapter is concerned with solving systems of ordinary differential equations. Ordinary differential equations are equations that contain derivatives with respect to only one independent variable. The main result that a system of ordinary differential equations has a unique solution under certain reasonable assumptions is presented. In order to solve the equations numerically, runge–kutta formulas are discussed in detail, since they yield excellent results for a wide range of equation types. Finally, the formulas are implemented in an idiomatic manner in julia.

Suggested Citation

  • Clemens Heitzinger, 2022. "Ordinary Differential Equations," Springer Books, in: Algorithms with JULIA, chapter 0, pages 229-256, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-16560-3_9
    DOI: 10.1007/978-3-031-16560-3_9
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-3-031-16560-3_9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.