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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.

  • Keywords

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

  • AMS Subject Headings

65M06, 65M12

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-4-198, author = {S. Zhu and J. Zhao}, 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 AU - S. Zhu & J. Zhao 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 and J. Zhao. (2007). 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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