Year: 2026
Type: article
Abstract: In this study, we investigate third-order Emden-Fowler equations using the modified Adomian Decomposition Method (MADM). Six operators tailored to this framework are introduced and applied to analyze the equations under specific initial and boundary conditions. The results demonstrate that the solutions obtained via the modified Adomian Decomposition Method converge effectively to the exact solutions of the third-order Emden-Fowler equations. This work not only enhances the understanding of these complex equations but also highlights the effectiveness of the MADM in producing accurate solutions under varying conditions.
DOI: 10.14419/3hryyg11
Authors: Nuha Mohammed Dabwan, Yahya Qaid Hasan
Institutions: Taiz University, University of Aden
Language: Portuguese
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7127053546