In this paper, the Landau-Lifshitz equation with periodic initial boundary val- ued problem which is govnered by ■μ／■ｔ=-α1μ×（μ×Δμ）+α2（μ×Δμ） is discreted by using the Euler-forword fini...In this paper, the Landau-Lifshitz equation with periodic initial boundary val- ued problem which is govnered by ■μ／■ｔ=-α1μ×（μ×Δμ）+α2（μ×Δμ） 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.展开更多
文摘In this paper, the Landau-Lifshitz equation with periodic initial boundary val- ued problem which is govnered by ■μ／■ｔ=-α1μ×（μ×Δμ）+α2（μ×Δμ） 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.
