THE STABILITY OF DIFFERENCE SCHEMES OF A HIGHER DIMENSIONAL PARABOLIC EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (12): 1209-1215.

THE STABILITY OF DIFFERENCE SCHEMES OF A HIGHER DIMENSIONAL PARABOLIC EQUATION

孙其仁

Shanghai University of Technology: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

收稿日期:1990-10-15 出版日期:1991-12-18 发布日期:1991-12-18
通讯作者: Jiang Fu-ru

THE STABILITY OF DIFFERENCE SCHEMES OF A HIGHER DIMENSIONAL PARABOLIC EQUATION

Sun Qi-ren

Shanghai University of Technology: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

Received:1990-10-15 Online:1991-12-18 Published:1991-12-18

摘要/Abstract

摘要： This paper proposes a new method to improve the stability condition of difference scheme of a parabolic equation. Necessary and sufficient conditions of the stability of this new method are given and proved. Some numerical examples show that this method has some calculation advantages.

关键词: stability condition, parabolic equation, difference scheme

Abstract: This paper proposes a new method to improve the stability condition of difference scheme of a parabolic equation. Necessary and sufficient conditions of the stability of this new method are given and proved. Some numerical examples show that this method has some calculation advantages.

Key words: stability condition, parabolic equation, difference scheme

孙其仁. THE STABILITY OF DIFFERENCE SCHEMES OF A HIGHER DIMENSIONAL PARABOLIC EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(12): 1209-1215.

Sun Qi-ren. THE STABILITY OF DIFFERENCE SCHEMES OF A HIGHER DIMENSIONAL PARABOLIC EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(12): 1209-1215.

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THE STABILITY OF DIFFERENCE SCHEMES OF A HIGHER DIMENSIONAL PARABOLIC EQUATION

THE STABILITY OF DIFFERENCE SCHEMES OF A HIGHER DIMENSIONAL PARABOLIC EQUATION

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