AN EXPLICIT FINITE DIFFERENCE SCHEME FOR THE LANDAU-LIFSHITZ EQUATION OF THE FERROMAGNETIC SPIN CHAIN
铁磁链Landau-Lifshitz方程的显式差分法

In this paper, the Landau-Lifshitz equation with periodic initial boundary valued problem which is govnered by ()/(t)=-1 ( )+2( ) is discreted by using the Euler-forword finite difference method. The proposed scheme is explicit so that the parallel algorithm can be used to simulate numerically on computer. Moreove, the convergence and stability of the proposed scheme are proved by the finite extensive method of the nonlinear function. Finally, the numerical experiments are provided to check the theoritical results.