A New Method for Numerical Integration of Higher-Order Ordinary Differential Equations Without Losing the Periodic Responses

A new numerical method is presented for the solution of initial value problems described by systems of N linear ordinary differential equations (ODEs). Using the state-space representation, a differential equation of order n > 1 is transformed into a system of L = n×N first-order equations, t...

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Bibliographic Details
Main Author: John T. Katsikadelis
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-04-01
Series:Frontiers in Built Environment
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fbuil.2021.621037/full