Starting the codes that solve ordinary differential equations
This article presents a method to compute the initial conditions which are induced by smooth or jump commands into the processes modeled by nonlinear differential equations. The knowledge of such starting states is usually needed before running numerical programs that solve initial value problems on digital computers. The proposed technique, which is based on an extension of a graph method, permits the transient analysis of nonlinear systems just at the instant t = 0(+). For the purpose of illustration, a mechanical process is analyzed on an standard PC platform. (C) 1999 John Wiley & Sons, Inc.
initial conditions starting integration codes simulation programs