Int. J. Numer. Anal. Mod., 4 (2007), pp. 198-209.


Alternating schemes of parallel computation for the diffusion problems

Shaohong Zhu 1, Jennifer Zhao 2

1 School of Mathematical Science and LPMC, Nankai University, Tianjin, 300071, China
2 Department of Mathematics and Statistics, University of Michigan-Dearborn, Dearborn, MI 48374, USA

Received by the editors April 2, 2006 and, in revised form, May 15, 2006
Abstract

In this paper, a set of new alternating segment explicit-implicit (NASEI) schemes is derived based on an one-dimensional diffusion problem. The schemes are capable of parallel computation; third-order accurate inspace; and stable under a reasonable mesh condition. The numerical examples show that the NASEI schemes are more accurate than either the old ASEI or the ASCN schemes.

AMS subject classifications: 65M06, 65M12
Key words: new alternating segment explicit-implicit (NASEI) schemes; finite difference method; diffusion problems, parallel computation
Email: shhzhu@nankai.edu.cn (S. Zhu), xich@umich.edu (J. Zhao)
 

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