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Nuruddeen, R.I., Muhammad, L., Nass, A.M. and Sulaiman, T.A. (2018) A Review of the Integral Transforms-Based Decomposition Methods and Their Applications in Solving Nonlinear PDEs. Palestine Journal of Mathematics, 7, 262-280.

has been cited by the following article:

• TITLE: Solution of Laguerre’s Differential Equations via Modified Adomian Decomposition Method

  AUTHORS: Mariam Al-Mazmumy, Aishah A. Alsulami

  KEYWORDS: Modification Method, Singular Ordinary Differential Equations, Laguerre’s Equation, Associated Laguerre’s Equation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.1, January 18, 2023

  ABSTRACT: This paper presents a technique for obtaining an exact solution for the well-known Laguerre’s differential equations that arise in the modeling of several phenomena in quantum mechanics and engineering. We utilize an efficient procedure based on the modified Adomian decomposition method to obtain closed-form solutions of the Laguerre’s and the associated Laguerre’s differential equations. The proposed technique makes sense as the attitudes of the acquired solutions towards the neighboring singular points are correctly taken care of.