Abstract: Fourier series have important application in ordinary differential equations evolving from practical applications of Physics and engineering. The coefficients of Fourier series were obtained by means of integration from the series. Thereafter, they were applied to spring-mass systems which were acted on by a forcing function. It was demonstrated with examples that it is possible to obtain the transient and steady-state solution of any given mass-spring problem when acted upon by an external force to produce oscillation.
Keywords: Fourier Series, spring-mass problem, oscillation, ordinary differential equation, periodic function, orthogonal.
Title: Fourier Series Solution of Second Order Ordinary Differential Equations Arising from Spring-Mass System
Author: Adebisi A. Ibrahim, Temitope M. Aramide, Olalekan F. Famutimi, Abdulwariz K. Ayodele
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 12, Issue 2, October 2024 - March 2025
Page No: 59-64
Research Publish Journals
Website: www.researchpublish.com
Published Date: 26-February-2025
