中文摘要：

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.

英文摘要：

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.