Comparison of Adomian Decomposition and Power Series in Solving Second-order Linear Differential Equations
Year: 2025
Type: article
Abstract: This paper explores two analytical techniques for obtaining series solutions to second-order linear differential equations with variable coefficients: the Adomian Decomposition Method (ADM) and the Power Series Method (PSM). Both methods offer approximate solutions but differ fundamentally in their approach and computational framework. Through illustrative examples, including cases where all variable coefficients are non-zero, the effectiveness and practical nuances of each method are examined. A comparative analysis highlights their respective advantages and potential limitations in solving complex differential equations. This study aims to provide deeper insight into the applicability of these methods for tackling differential equations with variable coefficients, thereby aiding in the selection of suitable techniques for specific problem classes
Authors: Nwankwo Ifeoma, Ngozi, Okafor Chinedu, Emeka
Institution: Chukwuemeka Odumegwu Ojukwu University
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7079504706
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