• DocumentCode
    1109243
  • Title

    Application of Digital Computers to Solve Analytically a Class of Second-Order Non-linear Ordinary Differential Equations

  • Author

    Rink, Richard A. ; Streifer, William

  • Author_Institution
    IEEE
  • Issue
    8
  • fYear
    1971
  • Firstpage
    901
  • Lastpage
    910
  • Abstract
    This note is concerned with the application of digital computers to solve analytically a class of second-order nonlinear ordinary differential equations. Programs, written in the FØRMAC language, are described, which employ the perturbation methods of Krylov, Bogoliubov, and Mitropolsky. Solutions of Duffing´s equation and van der Pol´s equation are included as examples.
  • Keywords
    Application software; Computer applications; Computer languages; Differential equations; Frequency; Friction; Limit-cycles; Nonlinear equations; Perturbation methods; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/T-C.1971.223368
  • Filename
    1671961
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1109243