NEW DEVELOPMENT OF ADOMIAN DECOMPOSITION METHOD FOR SOLVING SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS

This study attempts at Adomian Decomposition Method (ADM) for solving second order ordinary differential equations such as Multi singular equation, Bessel’s and Oscillatory systems. The results in many known equations, some of them are studied investigated by mathematicians researchers, while others still not well researched yet. We give a new operator invers to solve different types initial value problem the equation. There situations that we will non-linear examples lead us approximate solutions exact solution.