Author(s)

Mariam Al-Mazmumy, Aishah A. Alsulami

Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia.

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.

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

Al-Mazmumy, M. and Alsulami, A. (2023) Solution of Laguerre’s Differential Equations via Modified Adomian Decomposition Method. Journal of Applied Mathematics and Physics, 11, 85-100. doi: 10.4236/jamp.2023.111007.