Alternating Schemes of Parallel Computation for the Diffusion Problems

Alternating Schemes of Parallel Computation for the Diffusion Problems

Year:    2007

International Journal of Numerical Analysis and Modeling, Vol. 4 (2007), Iss. 2 : pp. 198–209

Abstract

In this paper, a set of new alternating segment explicit-implicit (NASEI) schemes is derived based on a one-dimensional diffusion problem. The schemes are capable of parallel computation; third-order accurate in space; 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-IJNAM-859

International Journal of Numerical Analysis and Modeling, Vol. 4 (2007), Iss. 2 : pp. 198–209

Published online:    2007-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    new alternating segment explicit-implicit (NASEI) schemes finite difference method diffusion problems parallel computation.