【摘要】 在此文内.我们给出了热传导方程紧致格式的半离散化能量估计.然后,用统一的办法分析了一族全离散格式的稳定性.在此基础上,我们讨论了紧致格式的收敛速度.最后将我们的结果推广到二维并指出在高维情形有同样的结果.更多还原

【Abstract】 In this paper, we deduced semidescrete energy estimate of a compact scheme for Heat Equation. Secondly, we proceed to analyze stability of total descrete compact difference schemes with unified way, instead of analyzing them one by one. Thirdly, we discussed convergence rate of the sehemes. Finally, we gener-ized our results to mulidimension, especially, we discussed them in detail in 2-D and pointed out there are the same results in more than 2-D cases.更多还原