有阻尼项的Heisenberg链方程的差分格式

An Explicit Finite Difference Scheme for the Heisenberg Equation

本文研究了具有阻尼项的Heisenberg链方程u t =-α1u × (u ×△u ) +α2 (u ×△u ) 的周期初值的显式差分格式 ,并证明了格式的收敛性和稳定性。

In this paper,the Heisenberg Equations with periodic initial boundary valued problem which is governed by u t=-αu×(u×△u)+α 2(u×△u)is discreted by using the Euler-forword finite difference method.Moreove,the convergence and stability of the proposed scheme are proved by the finite extensive method of the nonlinear function.