A comparison between Adomian decomposition method and Taylor series method in the series solutions

摘要

In this work, we will compare the performance of the Adomian decomposition method and the Taylor series method applied to the solution of linear and nonlinear ordinary differential equations. The comparison shows that the decomposition method is reliable, efficient and easy to use from a computational viewpoint. Although the two methods provide the solution in an infinite series, the decomposition method provides a fast convergent series of easily computable components and eliminates cumbersome computational work needed by Taylor series method.