Modified Adomian Decomposition Method for Third -Order Emden-Fowler Equation

  • Authors

    • Nuha Mohammed Dabwan Department of Mathematics, University of Aden, Faculty of Education-Aden, Aden, Yemen and Department of Mathematics, Taiz University, Faculty of Education-AL-Mekhlaf, Taiz, Yemen
    • Yahya Qaid Hasan Department of Mathematics, Taiz University, Faculty of Education-AL-Mekhlaf, Taiz, Yemen
    https://doi.org/10.14419/3hryyg11

    Received date: December 24, 2025

    Accepted date: January 26, 2026

    Published date: February 1, 2026

  • Third -Order Emden-Fowler Equation, Modified Adomian Decomposition Method, Initial and boundary Conditions,Convergence Analysis

  • 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.

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  • How to Cite

    Dabwan, N. M. ., & Hasan, Y. Q. (2026). Modified Adomian Decomposition Method for Third -Order Emden-Fowler Equation. Global Journal of Mathematical Analysis, 12(1), 7-19. https://doi.org/10.14419/3hryyg11