• DocumentCode
    1116485
  • Title

    Some Parametric Techniques in the Analog Solution of Ordinary Differential Equations

  • Author

    Newton, Tyre A.

  • Author_Institution
    Department of Pure and Applied Mathematics, Washington State University
  • Issue
    1
  • fYear
    1975
  • Firstpage
    1
  • Lastpage
    8
  • Abstract
    The direct analog simulation of an ordinary differential equation over an interval for the independent variable is not possible whenever on that interval there is division by a variable which tends to zero, or there is a dependent variable such as a derivative which is represented by an integrator output and which becomes large without bound. Also, the raising of time dependent variables to fractional powers can require considerable analog equipment and introduce further error into a simulation.
  • Keywords
    Analog simulation, Bessel function of order n, Legendre´s differential equation, self-adjoint differential equation, two- and three-dimensional vector differential equation.; Analog computers; Computational modeling; Differential equations; Mathematics; Space exploration; Tires; Analog simulation, Bessel function of order n, Legendre´s differential equation, self-adjoint differential equation, two- and three-dimensional vector differential equation.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/T-C.1975.224079
  • Filename
    1672672