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An O(h4) accurate new alternating segment explicit-implicit schemes for a parabolic problem

ZHANG Shou-hui1,2,WANG Wen-qia1   

  1. 1. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China;2. School of Science, Jinan University, Jinan 250022, Shandong, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: ZHANG Shou-hui

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Abstract: A high accurate new alternating segment explicit-implicit(nASE-I) scheme for a parabolic problem was given. This scheme can be used in parallel computation, which was proved to be unconditionally stable. The spatial accuracy rate is O(h4), which was proved to be highly accurate by numerical experiments.

Key words: parallel algorithm , convection diffusion problem, small alternating segment scheme

CLC Number: 

  • O241.82
[1] ZENG Xian-wen,LI An-zhi . The parallel row action method with the greedy method for the system of linear equations [J]. J4, 2008, 43(4): 73-75 .
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