Application research of symplectic Runge-Kutta method of solving Lagrange-Maxwell equation | Zendy

Shixing Liu | Zendy; Song Duan | Zendy; Jia Lin | Zendy; Chang Liu | Zendy; YongXin Guo | Zendy

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Application research of symplectic Runge-Kutta method of solving Lagrange-Maxwell equation

Author(s) -

Shixing Liu,

Song Duan,

Jia Lin,

Chang Liu,

YongXin Guo

Publication year - 2013

Publication title -

acta physica sinica

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.

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