EXACT SOLUTION OF VAN DER POL NONLINEAR OSCILLATORS ON FINITE DOMAIN BY PADE APPROXIMANT AND ADOMIAN DECOMPOSITION METHODS

This paper is concerned with a thorough investigation in achieving exact analytical solution for the Van der Pol (VDP) nonlinear oscillators models via Adomian decomposition method (ADM). The are time dependent second order ordinary differential equations. ADM has already been applied, existing literatures, to obtain approximate results. But, we adapt by adjusting source term; procedure that base on asymptotic Taylor's series expansion term would have resulted proliferation of terms during invertible process. Then, rational Pade Approximant applied clarify and get better understanding uniqueness convergence our findings. Two were used as illustrations their result pictured indicate behaviour given domains. And, found adaptation yielded results which further displayed constructed tables.