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
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
出版年:2013
卷:30
期:3
页码:681-699
DOI:10.1007/s13160-013-0114-4
关键词:Block-centered finite difference;Numerical analysis;Parabolic equation;Time-dependent diffusion coefficient
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.
收录类别:CPCI-S;EI;SCOPUS;SCIE
WOS核心被引频次:16
Scopus被引频次:16
资源类型:会议论文;期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84890121000&doi=10.1007%2fs13160-013-0114-4&partnerID=40&md5=1da574dca48749b5fdab30f8c11c827a
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