Acta Mathematica Vietnamica

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Smooth model of system with diode nonlinearity
Nguyen Thi Hien

 

Abstract

A smooth model of a system with diode nonlinearity following the ordinary differential equation with a large parameter K is proposed. It offers a convenient tool for numerical analysis using the advanced packages of the applied programs. The main result of this paper is presented in a theorem that gives the upper bound of the modeling error and shows that the model solution uniformly converges to the exact solution of system with diode nonlinearity when K tends to infinity. The usefulness of this model is illustrated via a concrete example.

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