<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Numerical aspects of two coupled harmonic oscillators

Department of Mathematics and Computer Science

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Numerical aspects of two coupled harmonic oscillators"}

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...

Numerical aspects of two coupled harmonic oscillators

Published Online: Apr 09, 2020

Page range: 5 - 15

Received: Jun 28, 2019

Accepted: Jul 26, 2019

DOI: https://doi.org/10.2478/auom-2020-0001

Keywords
Coupled harmonic Oscillators, Lagrange, Euler- Lagrange equations, numerically solution

© 2020 Jihad Asad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Numerical aspects of two coupled harmonic oscillators

Published Online: Apr 09, 2020

Page range: 5 - 15

Received: Jun 28, 2019

Accepted: Jul 26, 2019

DOI: https://doi.org/10.2478/auom-2020-0001

KeywordsCoupled harmonic Oscillators, Lagrange, Euler- Lagrange equations, numerically solution

© 2020 Jihad Asad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Coupled harmonic Oscillators, Lagrange, Euler- Lagrange equations, numerically solution