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Locally one-dimensional-alternating segment explicit–implicit and locally one-dimensional-alternating segment Crank–Nicolson methods for two-dimension parabolic equations |
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| Authors: | Shou-Hui Zhang Dong Liang |
| Affiliation: | 1. School of Mathematics, ShanDong University, Jinan 250100, Shandong, China;2. School of Mathematical Sciences, University of Jinan, Jinan 250022, Shandong, China;3. Department of Mathematics and Statistics, York University, Toronto, ON, Canada M3J1P3 |
| Abstract: | In the paper two new locally one-dimensional alternating segment schemes for solving the 2-D parabolic problems are developed. The parabolic problems can be solved efficiently over decomposed sub-domains. Two schemes are proved to be unconditionally stable and numerical experiments show the validity of the schemes. |
| Keywords: | locally one-dimension alternating segment scheme domain decomposition parabolic problem parallel algorithm |