Approximate solutions of stochastic bonhoeffer-van der pol oscillatory system

Abstract

This paper considers the numerical simulation of stochastic Bonhoeffer Van Der Pol oscillation problem (SBVD), using the variational iteration method (VIM) and homotopy perturbation method (HPM) to implement the VIM and HPM on the stochastic Bonhoeffer Van der Pol oscillator. The study shows that SBVD oscillator oscillates within the interval . This implies that there is self-sustaining oscillation in which the energy is fed into small oscillations and removed from large oscillations. However, the HPM generates oscillations that possess much more energy than the VIM. When, the equation reduces to the simple harmonic oscillator. All computational framework of this research were performed using MAPLE 18 software