Mahmoudi, Y., Abdollahi, M., Karimian, N. and Khalili, H. (2012) Adomian Decomposition Method with Laguerre Polynomials for Solving Ordinary Differential Equation. Journal of Basic and Applied Scientific Research, 2, 2236-12241.

has been cited by the following article:

• 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.