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.