An Effcient Method to Find Approximate Solutions for Emden-Fowler Equations of nth Order
Nuha Mohammed Dabwan, Yahya Qaid Hasan
Asian Journal of Probability and Statistics · pp. 9–27 · Published 16 Jul 2020
10.9734/ajpas/2020/v8i130195Abstract
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.
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