标题：Block-centered finite difference methods for parabolic equation with time-dependent coefficient (Conference Paper)
作者：Rui, H.;Pan, H.
通讯作者：Rui, H
作者机构：[Rui, H] School of Mathematics, Shandong University, Jinan 250100, China;[ Pan, H] School of Information Science and Engineering, Shandong Agricultura 更多[Rui, H] School of Mathematics, Shandong University, Jinan 250100, China;[ Pan, H] School of Information Science and Engineering, Shandong Agricultural University, Taian 271018, China 收起
会议名称：4th China-Japan-Korea Conference on Numerical Mathematics
会议日期：AUG 25-28, 2012
来源：Japan journal of industrial and applied mathematics
摘要：Two block-centered finite difference schemes are introduced and analyzed to solve parabolic equation with time-dependent diffusion coefficient. One scheme is Euler backward scheme with first order accuracy in time increment while the other is Crank-Nicolson scheme with second order accuracy in time increment. Second-order error estimates in spacial meshsize both for the original unknown and its derivatives in discrete L~2 norms are established on non-uniform rectangular grid. Numerical experiments using the schemes show that the convergence rates are in agreement with the theoretical analysis.
