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.