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T.A. Newton, Department of Pure and Applied Mathematics, Washington State University
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.
Index Terms:
Analog simulation, Bessel function of order n, Legendre's differential equation, self-adjoint differential equation, two- and three-dimensional vector differential equation.
Citation:
T.A. Newton, "Some Parametric Techniques in the Analog Solution of Ordinary Differential Equations," IEEE Transactions on Computers, vol. 24, no. 1, pp. 1-8, Jan. 1975, doi:10.1109/T-C.1975.224079
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