A　difference　scheme　of　Landau-Lifshitz　(LL　for　short)　equations　is　studied.　Their　convergence　and　stability　are　proved.　Furthermore,　a　new　solution　of　LL　equation　is　given　for　testing　our　scheme.　At　the　end,　three　subcases　of　this　LL　equation　are　concerned　about,　and　some　properties　about　these　equations　are　shown　by　a　numeric　simulation　way.