Open AccessApplication research of symplectic Runge-Kutta method of solving Lagrange-Maxwell equation
Author(s) -
刘世兴,
宋端,
贾林,
刘畅,
郭永新
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.034501
Subject(s) - symplectic geometry , noether's theorem , symplectic integrator , runge–kutta methods , equations of motion , maxwell's equations , integrable system , mathematics , mathematical analysis , physics , differential equation , classical mechanics , symplectic manifold , lagrangian
In this paper, we show the numerical integration method of solving Lagrange-Maxwell equation by using the symplectic Runge-Kutta (R-K) method, and numerically study the motion of the plate in an RLC circuit spring coupled system and the current changes. Its result is consistent with that obtained by the traditional R-K method, which demonstrates symplectic integration algorithm is reasonable and effective in studying the electro-mechanical systems. And on this basis, the form invariance of Noether sense is studied by using the symplectic Runge-Kutta method.