Chinese Quarterly Journal of Mathematics ›› 2003, Vol. 18 ›› Issue (1): 17-20.

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A Class of Two-level High-order Accuracy Explicit Difference Scheme for Solving 3-D Parabolic Partial Differential Equation

  

  1. College of Mathematics and Information Science, Henan Normal University,Xinxiang 453002,China
  • Received:2001-11-06 Online:2003-03-30 Published:2024-04-19
  • About author:WANG Tong-ke(1965-),male ,native of Nanyang ,Henan ,an associate professor of Henan Normal Universi- ty ,engages in numberical solution of partial differential equation .
  • Supported by:
    Supported by the Natural Science Foundation of Henan Education Commission(97110007)

Abstract: A class of two-level high-order accuracy explicit  difference scheme for solving  3-D parabolic P.D.E  is   constructed. Its   truncation   error  is    ( Δt2 +Δx4 ) and  the   stability  condition  is r =  Δt/Δx2 =  Δt/Δy2=Δt/Δz2≤ 1/6.

Key words: 3-D parabolic P.E.E., explicit difference scheme, truncation error

CLC Number: