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Error bounds of the finite-difference method in the problem of approximate construction of forced oscillations in nonlinear systems

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Abstract

The study considers the finite-difference method in the problem of approximate construction of forced oscillation modes in nonlinear systems described by differential equations of the form with a constant matrix A and a nonlinearity f T-periodic in t. A guaranteed bound on the error of the method is derived for the case of a weak nonlinearity f.

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Authors
  1. N. A. Bobylev
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  2. Yu. M. Burman
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  3. S. A. Solov'ev
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Additional information

The study was financially supported by the Russian Foundation of Basic Research (93-012-869).

Translated from Nelineinye Dinamicheskie Sistemy: Kachestvennyi Analiz i Upravlenie — Sbornik Trudov, No. 2, pp. 81–85, 1993.

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Bobylev, N.A., Burman, Y.M. & Solov'ev, S.A. Error bounds of the finite-difference method in the problem of approximate construction of forced oscillations in nonlinear systems. Comput Math Model 7, 328–332 (1996). https://doi.org/10.1007/BF01128164

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