An Effcient Method to Find Approximate Solutions for Emden-Fowler Equations of nth Order
Nuha Mohammed Dabwan
Department of Mathematics, Sheba Region University, Yemen.
Yahya Qaid Hasan *
Department of Mathematics, Sheba Region University, Yemen.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Emden equations, Adomian method, boundry conditions.