A NEW ALGORITHM FOR SOLVING SECOND ORDER AND HIGH-ORDER IVPs BY MODIFIED ADM

In an afficient modification of ADM has been proposed for solving some cases of second order ODEs. In this paper, this method is generalized to more cases. The Proposed method can be applied to linear, nonlinear, singular and nonsingular problems. Here, it is focused on singular IVPs. In addition a new differential operator is proposed to solve high-order IVPs. The scheme is tested for some example and the obtained results demonstrate reliability and efficiency of the proposed method.

Keywords:

Adomian decomposition method , singular initial value problems or dinary differential equations