An Effcient Method to Find Approximate Solutions for Emden-Fowler Equations of nth Order

In this research, Emden-Fowler equations of higher order with boundary conditions are considered and solved using Modied Adomian Decomposition Method (MADM). We dened a new differential operator under two conditions: rst condition when m ≤ 0 and second condition when m ≥ 0. From this operator, we got three types of Emden-Fowler equations of higher order. The new method is evaluated by using many examples, the results obtained through this method reveal the effectiveness of this method for these type of equations, especially when comparisons are made with the exact solution.