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

Liu Shi-Xing Song Duan Jia Lin Liu Chang Guo Yong-Xin

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

Liu Shi-Xing, Song Duan, Jia Lin, Liu Chang, Guo Yong-Xin
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  • Received Date:  07 March 2012
  • Accepted Date:  05 September 2012
  • Published Online:  05 February 2013

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

  • 1. College of Physics, Liaoning University, Shenyang 110036, China;
  • 2. Physics of Medical Imaging Department, Eastern Liaoning University, Dandong 118001, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 11172120, 10932002, 10872084), the Research Program of Higher Education of Liaoning Province, China (Grant No. 2008S098), the Program of Supporting Elitists of Higher Education of Liaoning Province, China (Grant No. 2008RC20), and the Program of Constructing Liaoning Provincial Key Laboratory, China (Grant No. 2008403009)

Abstract: 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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