A New Improved Adomian Decomposition Method for Solving Emden-Fowler Type Equations of Higher-Order
Zainab Ali Abdu AL-Rabahi
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 paper, we present a suggested modification for Adomain decomposition method to solve Emden{Fowler Types Equations of higher-order ordinary differential equations. The proposed method can be applied to linear and non-linear problems. By using some illustrative examples, we tested the reliability and effectiveness of the proposed method and we found that the obtained results approximate the exact solution. Thus, we can conclude that this proposed method is efficient and reliable .
Keywords: Adomain decomposition method, boundary conditions, Emden{fowler equations