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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (9): 1071-1078.

• 论文 • 上一篇    下一篇

A CLASS OF TWO-LEVEL EXPLICIT DIFFERENCE SCHEMES FOR SOLVING THREE DIMENSIONAL HEAT CONDUCTION EQUATION

曾文平   

  1. Department of Management Information Science, Huaqiao University, Quanzhou 362011, P. R. China
  • 收稿日期:1999-03-08 修回日期:2000-03-25 出版日期:2000-09-18 发布日期:2000-09-18
  • 基金资助:

    the National Science Foundation of Fujian Province

A CLASS OF TWO-LEVEL EXPLICIT DIFFERENCE SCHEMES FOR SOLVING THREE DIMENSIONAL HEAT CONDUCTION EQUATION

ZENG Wen-ping   

  1. Department of Management Information Science, Huaqiao University, Quanzhou 362011, P. R. China
  • Received:1999-03-08 Revised:2000-03-25 Online:2000-09-18 Published:2000-09-18
  • Supported by:

    the National Science Foundation of Fujian Province

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摘要： A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of truncation error is O(Δt+(Δx)2), the stability condition is mesh ratio r=Δt/(Δx)2)=Δt/(Δy)2= Δt(Δz)2≤1/2, which is better than that of all the other explicit difference schemes. And when the order of truncation error is O((Δt)2+(Δx)4), the stability condition is r≤1/6, which contains the known results.

Abstract: A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of truncation error is O(Δt+(Δx)2), the stability condition is mesh ratio r=Δt/(Δx)2)=Δt/(Δy)2= Δt(Δz)2≤1/2, which is better than that of all the other explicit difference schemes. And when the order of truncation error is O((Δt)2+(Δx)4), the stability condition is r≤1/6, which contains the known results.

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