Applied Mathematics and Mechanics

, Volume 28, Issue 7, pp 973–980 | Cite as

Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation

  • Qu Fu-li  (曲富丽)
  • Wang Wen-qia  (王文洽)Email author


A group of asymmetric difference schemes to approach the Korteweg-de Vries (KdV) equation is given here. According to such schemes, the full explicit difference scheme and the full implicit one, an alternating segment explicit-implicit difference scheme for solving the KdV equation is constructed. The scheme is linear unconditionally stable by the analysis of linearization procedure, and is used directly on the parallel computer. The numerical experiments show that the method has high accuracy.

Key words

KdV equation intrinsic parallelism alternating segment explicit-implicit difference scheme unconditionally linear stable 

Chinese Library Classification


2000 Mathematics Subject Classification

65M06 65M12 65Y05 


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Copyright information

© Editorial Committee of Appl. Math. Mech. 2007

Authors and Affiliations

  • Qu Fu-li  (曲富丽)
    • 1
  • Wang Wen-qia  (王文洽)
    • 2
    Email author
  1. 1.Accounting DepartmentWomen’s Academy at ShandongJinanP. R. China
  2. 2.School of Mathematics and System ScienceShandong UniversityJinanP. R. China

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