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Abstract

Numerical integration of ordinary differential equa tions containing nonanalytical functions is error- prone and time-consuming. Because of this problem, the simulation of the hydraulic servo drive of a machine tool produced unsatisfactory results. How ever, applying power-series expansions provided fast and accurate solutions. Due to its pieceuise semi- analytic character, this method is particularly suited to handling discontinuities. Although it re quires the calculation of higher derivatives by means of recursion formulas, the power-series method can be completely automated. A simulation package for this purpose is currently under development. Two examples compare its performance with that of Runge-Kutta- Merson integration.

Keywords

digital simulation (continuous systems),mathematical techniques numerical inte gration

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Integration across discontinuities in ordinary differential equations using power series

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