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Computer-Algebraic Approach to First Differential Approximations: Van der Pol Oscillator

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Abstract

First differential approximation has been used to analyze various numerical methods for solving systems of ordinary differential equations. This has made it possible to estimate the stiffness of the ODE system that models the oscillations of the Van der Pol oscillator and the error of the method as well as to propose simple criteria for choosing a calculation step. The presented methods allow one to perform efficient calculations using computer algebra systems.

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Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct thisparticular research were obtained.

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  1. Saratov State National Research University, ul. Astrakhanskaya 83, 410012, Saratov, Russia

    Yu. A. Blinkov

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  1. Yu. A. Blinkov
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Correspondence to Yu. A. Blinkov.

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Translated by V. Arutyunyan

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Blinkov, Y.A. Computer-Algebraic Approach to First Differential Approximations: Van der Pol Oscillator. Program Comput Soft 50, 115–120 (2024). https://doi.org/10.1134/S0361768824020026

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  • DOI: https://doi.org/10.1134/S0361768824020026