Numerical aspects of two coupled harmonic oscillators

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.

Keywords

• coupled harmonic oscillators
• lagrange
• euler- lagrange equations
• numerically solution
• primary 70h03, 37n30
• secondary 37n05