Alternating schemes of parallel computation for the diffusion problems
Shaohong Zhu 1, Jennifer Zhao 21 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
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: firstname.lastname@example.org (S. Zhu), email@example.com (J. Zhao)