A FAMILY OF HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 3-D PARABOLIC PARTIAL DIFFERENTIAL EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (10): 1207-1212.

A FAMILY OF HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 3-D PARABOLIC PARTIAL DIFFERENTIAL EQUATION

马明书, 王同科

Department of Mathematics, Henan Normal University, Xinxiang 453002, P. R. China

收稿日期:1998-08-03 修回日期:2000-06-08 出版日期:2000-10-18 发布日期:2000-10-18

A FAMILY OF HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 3-D PARABOLIC PARTIAL DIFFERENTIAL EQUATION

MA Ming-shu, Wang Tong-ke

Department of Mathematics, Henan Normal University, Xinxiang 453002, P. R. China

Received:1998-08-03 Revised:2000-06-08 Online:2000-10-18 Published:2000-10-18

摘要/Abstract

摘要： A family of high-order accuracy explict difference schemes for solving 3-dimension parabolic P.D.E. is constructed. The stability condition is r=Δt/Δx² = Δt/Δy² = Δt/Δz² <1/2,and the truncation error is O(Δt² + Δ x⁴).

中图分类号:

O241

马明书;王同科. A FAMILY OF HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 3-D PARABOLIC PARTIAL DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(10): 1207-1212.

MA Ming-shu;Wang Tong-ke. A FAMILY OF HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 3-D PARABOLIC PARTIAL DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(10): 1207-1212.

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A FAMILY OF HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 3-D PARABOLIC PARTIAL DIFFERENTIAL EQUATION

A FAMILY OF HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 3-D PARABOLIC PARTIAL DIFFERENTIAL EQUATION

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