NUMERICAL APPROXIMATION OF OSCILLATORY INITIAL VALUE PROBLEMS USING THE HOMOTOPY ANALYSIS ALGORITHM

In this paper, we present numerical approximation for oscillatory initial value problems (IVPs) using the homotopy analysis algorithm. The convergence of method is discussed and experiments are presented to illustrate computational effectiveness results obtained in good agreement with exact solutions Adomian decomposition (ADM). These show that algorithm introduced here easy apply without linearization.