Year: 2004
Author: Jiaquan Gao
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 1 : pp. 55–60
Abstract
A practical parallel difference scheme for parabolic equations is constructed as follows: to decompose the domain Ω into some overlapping subdomains, take flux of the last time layer as Neumann boundary conditions for the time layer on inner boundary points of subdomains, solve it with the fully implicit scheme on each subdomain, then take correspondent values of its neighbor subdomains as its values for inner boundary points of each subdomain and mean of its neighbor subdomain and itself at overlapping points. The scheme is unconditionally convergent. Though its truncation error is $O(h+\tau)$the convergent order for the solution can be improved to $O(h^2+\tau)$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10333
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 1 : pp. 55–60
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: Parallel difference scheme Parabolic equation Segment Explicit-implicit.