Title :
Some Parametric Techniques in the Analog Solution of Ordinary Differential Equations
Author_Institution :
Department of Pure and Applied Mathematics, Washington State University
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.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/T-C.1975.224079