标题:A block-centered finite difference method for the nonlinear Sobolev equation on nonuniform rectangular grids
作者:Li, Xiaoli ;Rui, Hongxing
作者机构:[Li, Xiaoli ] School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and High Performance Scientific Computing, 更多
通讯作者:Rui, Hongxing
来源:Applied Mathematics and Computation
出版年:2019
卷:363
DOI:10.1016/j.amc.2019.124607
关键词:Block-centered finite difference; Nonlinear Sobolev equation; Nonuniform rectangular grids; Numerical experiments; Stability
摘要:In this article, a block-centered finite difference method for the nonlinear Sobolev equation is introduced and analyzed. The stability and the global convergence of the scheme are proved rigorously. Some a priori estimates of discrete norms with superconvergence O(Δt+h2+k2) for scalar unknown p, its gradient u and its flux q are established on nonuniform rectangular grids, where Δt, h and k are the step sizes in time, space in x- and y-direction. Moreover, the applicability and accuracy of the scheme are demonstrated by numerical experiments to support our theoretical analysis. © 2019 Elsevier Inc.
收录类别:EI;SCOPUS
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85069726999&doi=10.1016%2fj.amc.2019.124607&partnerID=40&md5=884792f0746a7517dbdc570c736fbef0
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