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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (5): 497-501.

• 论文 • 上一篇    

A NEW HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEME FOR SOLVING THREE-DIMENSIONAL PARABOLIC EQUATIONS

马明书   

  1. Department of Mathematics, Henan Normal University, Xinxiang 453002, P. R. China
  • 收稿日期:1997-06-17 出版日期:1998-05-18 发布日期:1998-05-18

A NEW HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEME FOR SOLVING THREE-DIMENSIONAL PARABOLIC EQUATIONS

Ma Mingshu   

  1. Department of Mathematics, Henan Normal University, Xinxiang 453002, P. R. China
  • Received:1997-06-17 Online:1998-05-18 Published:1998-05-18

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摘要： In this paper, a new three-level explicit difference scheme with high-orderaccuracy is proposed for solving three-dimensional parabolic equations. The stabilitycondition is r＝△t/△x2 ＝△t/△y2＝△t/△z2≤1/4, and the trumcation error is O(△t2+△x4).

关键词: high-order accuracy, explicit difference scheme, threedimensional parabolic equation

Abstract: In this paper, a new three-level explicit difference scheme with high-orderaccuracy is proposed for solving three-dimensional parabolic equations. The stabilitycondition is r＝△t/△x2 ＝△t/△y2＝△t/△z2≤1/4, and the trumcation error is O(△t2+△x4).

Key words: high-order accuracy, explicit difference scheme, threedimensional parabolic equation

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