Numerical solution of nonlinear third order Van der Pol oscillator

Gilder Cieza Altamirano

Numerical solution of nonlinear third order Van der Pol oscillator

Keywords : Third order Van der Pol oscillator, Adams method, implicit Runge-Kutta method, nonlinear, stiff, non-stiff


Abstract

In the present study, numerical investigations have been carried out for solving a class of third order Van der Pol oscillator for differential equation related to nonlinearity for both parameters based on stiff and non-stiff conditions. The variants of the proposed scheme have been numerically solved and the comparison of results are presented based on the two schemes named as Adams numerical scheme and implicit Runge-Kutta scheme which is used to solve the third order nonlinear Van der Pol oscillator. The details of the achieved numerical results in the form of tables have been numerically discussed.

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