An Effective Modification of Adomian Decomposition Method for Solving Emden–Fowler Type Systems

The traditional Adomian decomposition method (ADM) usually is divergent to solve nonlinear systems of ordinary differential equations of Emden–Fowler type. To cover this deficiency, an effective modification of ADM is formally adopted in the current study. The method overcomes the singularity at the origin and provides the solution of the problems in the form of a convergent series. Some illustrative examples are considered to examine the effectiveness of the method.