摘要
Landau-Lifshitz方程可以用于描述连续铁磁体自旋场的发展进程.利用变分迭代方法得到了Landau-Lifshitz方程的近似解析解,并获得一个收敛于精确解的函数序列.变分迭代方法是基于Lagrange乘子的一种方法,其中Lagrange乘子可以通过变分理论最优识别.数值例子验证了该方法的可靠性和有效性,该方法还可以保持时间进化过程中的能量守恒.
Landau-Lifshitz equations can be used to describe the relaxation process of the magnetization distri- bution in a ferromagnetic material, in this paper, the variational iteration method is applied to obtain approximate analytic solutions of Landau-Lifshitz equations. This method provides a sequence of functions which converges to the exact solution of the problem and is based on the use of Lagrange multiplier for identification of optimal value of parameter in a functional. Numerical examples show that the method is very reliable and efficient and can pre- serve the energy conservation in the time evolution process.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
北大核心
2017年第4期469-474,共6页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
Supported by the National Natural Science Foundation of China(11261035,11761054)
the Program for Young Talents of Science and Technology in Universities of Inner Mongolia(NJYT-15-A07)
the Natural Science Foundation of Inner Mongolia(2015MS 0108,2012MS 0102)
the Science Research Foundation of Institute of Higher Education of Inner Mongolia(NJZZ12198,NJZZ16234,NJZZ16235)
the Program for Young Talents of Science and Technology in Baotou Teacher’College,the Program for Yinshan Scholar in Baotou Teacher’College
