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Volume 4, Issue 2
Alternating Schemes of Parallel Computation for the Diffusion Problems

S. Zhu & J. Zhao

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

Published online: 2007-04

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  • 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.

  • AMS Subject Headings

65M06, 65M12

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-4-198, author = {}, title = {Alternating Schemes of Parallel Computation for the Diffusion Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2007}, volume = {4}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/859.html} }
TY - JOUR T1 - Alternating Schemes of Parallel Computation for the Diffusion Problems JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 198 EP - 209 PY - 2007 DA - 2007/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/859.html KW - new alternating segment explicit-implicit (NASEI) schemes, finite difference method, diffusion problems, parallel computation. AB -

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.

S. Zhu & J. Zhao. (1970). Alternating Schemes of Parallel Computation for the Diffusion Problems. International Journal of Numerical Analysis and Modeling. 4 (2). 198-209. doi:
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