标题:A block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition
作者:Li, Xiaoli; Rui, Hongxing
作者机构:[Li, Xiaoli; Rui, Hongxing] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
通讯作者:Rui, HX;Rui, Hongxing
通讯作者地址:[Rui, HX]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
来源:INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
出版年:2019
卷:96
期:3
页码:622-639
DOI:10.1080/00207160.2018.1455093
关键词:Block-centred finite difference; distributed-order differential; equation; stability; priori estimates; numerical experiments
摘要:In this article, a block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition is introduced and analysed. The stability and the global convergence of the scheme are proved rigorously. Some a priori estimates of discrete norms with optimal order of convergence O(Delta t(1+sigma/2) + h(2) + k(2) + sigma(2)) both for pressure and velocity are established on non-uniform rectangular grids, where Delta t, h, k and sigma are the step sizes in time, space in x- and y-direction, and distributed order. Moreover, the applicability and accuracy of the scheme are demonstrated by numerical experiments to support our theoretical analysis.
收录类别:EI;SCOPUS;SCIE
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85046699923&doi=10.1080%2f00207160.2018.1455093&partnerID=40&md5=046236adac3224a345199c6c5585d376
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