The predictor-corrector method for modelling of self-oscillatory systems

Abstract

In the work physically reasonable algorithm of numerical modeling of nonlinear oscillatory and self-oscillatory systems is offered. The algorithm is based on discrete in time model of the linear oscillator. Nonlinearity is considered by introduction to the oscillator of additional communications by the structural analysis of an initial system. For approximation of a temporary derivative in nonlinear communications it is offered to use the scheme of the prediction and correction. In spite of the fact that theoretically the algorithm has the second order of accuracy, within the numerical experiment with Van der Pol oscillator it shows the best results, than a standard method of the second order the Heuns method.

Keywords

• oscillatory and self-oscillatory systems
• nonlinearity
• finite difference scheme
• prediction and correction
• spectrum of self-oscillations