Numerical aspects of two coupled harmonic oscillators

Jihad Asad; Olivia Florea

doi:10.2478/auom-2020-0001

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Numerical aspects of two coupled harmonic oscillators

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 28 (2020): Issue 1 (March 2020)

By: Jihad Asad and Olivia Florea

Open Access

|Apr 2020

Abstract

In this study an interesting symmetric linear system is considered. As a first step we obtain the Lagrangian of the system. Secondly, we derive the classical Euler- Lagrange equations of the system. Finally, numerical and analytic solution for these equations have been presented for some chosen initial conditions.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2020-0001 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 5 - 15

Submitted on: Jun 28, 2019

Accepted on: Jul 26, 2019

Published on: Apr 9, 2020

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Coupled harmonic Oscillators,

Lagrange,

Euler- Lagrange equations,

numerically solution

Related subjects:

Mathematics,

General mathematics

© 2020 Jihad Asad, Olivia Florea, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 28 (2020): Issue 1 (March 2020)