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arXiv · 1602.02489

Note on a parameter switching method for nonlinear ODEs

Marius-F. Danca·Michal Feckan
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Abstract

In this paper we study analytically a parameter switching (PS) algorithm applied to a class of systems of ODE, depending on a single real parameter. The algorithm allows the numerical approximation of any solution of the underlying system by simple periodical switches of the control parameter. Near a general approach of the convergence of the PS algorithm, some dissipative properties are investigated and the dynamical behavior of solutions is investigated with the Lyapunov function method. A numerical example is presented

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Marius-F. Danca, Michal Feckan. 2016-07-09. Note on a parameter switching method for nonlinear ODEs. https://doi.org/10.1515/ms-2015-0148

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