Advance in the Adomian decomposition method for solving new Emden-Fowler type equations

Abstract

In this manuscript, we developed the technique of the Adomian method for solving many Lane-Emden-Fowler type equations. The use of the Adomian Decomposition method to effectively solve these newly developed singular 4th and 5th order equations. The efficacy of our approach is further validated by analyzing various fourth and fifth orders Emden-Fowler type examples encompassing nonlinear cases.

Keywords

• emden–fowler type equations
• adomian method
• adomian polynomials. singular point
• initial value problem.