TITLE:
On the Application of Adomian Decomposition Method to Special Equations in Physical Sciences
AUTHORS:
Aishah Alsulami, Mariam Al-Mazmumy, Huda Bakodah, Nawal Alzaid
KEYWORDS:
Iterative Scheme, Adomian Decomposition Method, Initial-Value Problems, Singular Ordinary Differential Equations
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.13 No.3,
September
8,
2023
ABSTRACT: The current manuscript makes
use of the prominent iterative procedure, called the Adomian Decomposition Method (ADM), to
tackle some important special differential
equations. The equations of curiosity in this study are the singular equations that arise in many physical
science applications. Thus, through the application of the ADM, a
generalized recursive scheme was successfully derived and further utilized to
obtain closed-form solutions for the models under
consideration. The method is, indeed, fascinating as respective exact analytical
solutions are accurately acquired with only a small number of iterations.