Birkhoff框架下Whittaker方程的离散变分算法  

DISCRETE VARIATIONAL CALCULATION OF WHITTAKER EQUATION IN THE BIRKHOFFIAN FRAMEWORK

作　　者：刘世兴[1] 李娜[1] 刘畅[1] 

机构地区：[1]辽宁大学物理学院,沈阳110036

出　　处：《动力学与控制学报》2015年第4期246-249,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11472124;11202090;11172120和11301350);辽宁省博士启动基金资助(20141050);辽宁省教育厅科学技术研究一般项目(L2013005)~~

摘　　要：本文在Birkhoff框架下,采用离散变分方法研究了非Hamilton系统-Whittaker方程的数值解法,并通过和传统的Runge-Kutta方法进行比较,说明了在Birkhoff框架下研究非Hamilton系统可以得到更加可靠和精确的数值结果.In this paper, the numerical algorithms of Whittaker equation, which is a non-Hamihonian system, are researched by using the discrete variational method in the framework of Birkhoffian. Compared with Runge- Kutta method, the numerical results show that the more reliable and accurate numerical results are obtained when the non-Hamilton systems without simple syrnplectic structure are studied in the Birkhoffian framework.

关 键 词：Whittaker方程 BIRKHOFF方程 离散变分方法 

分 类 号：O241.8[理学—计算数学]