Applications Modified Adomian Decomposition Method for Solving the Second-Order Ordinary Differential Equations

Abstract

In this paper, we will display an efficient application of the Modified Adomian Decomposition method (MADM) for solving linear and non-linear Singular initial value problem in the Second order ordinary differential physical equations such as the Schrödinger’s Equation, Hermit differential Equation and capacitance regulation equation. It is shown that the MADM efficency, simple, easy to use and accuracy because the series solutions converge to the specific answer for every problem if it exist or numerical solution if not exist.