The Stability of Difference Schemes of a Higher Dimensional Parabolic Equation

Sun Qi-ren

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Sun Qi-ren. The Stability of Difference Schemes of a Higher Dimensional Parabolic Equation[J]. Applied Mathematics and Mechanics, 1991, 12(12): 1141-1147.

Citation:

Sun Qi-ren. The Stability of Difference Schemes of a Higher Dimensional Parabolic Equation[J]. Applied Mathematics and Mechanics, 1991, 12(12): 1141-1147.

Citation:

Sun Qi-ren. The Stability of Difference Schemes of a Higher Dimensional Parabolic Equation[J]. Applied Mathematics and Mechanics, 1991, 12(12): 1141-1147.

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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 Date: 1990-10-15
Publish Date: 1991-12-15

Abstract

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.
- stability condition,
- parabolic equation,
- difference scheme

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References(3)

References

[1]	Richtmyer,Robert D.,Difference Methods for Initial-Value Problems,Inter-science Publishers Inc,,New York(1957).
[2]	李荣华、冯果枕,《微分方程数值解》,高等教育出版社,上海(1980).
[3]	蒋尔雄、高坤敏、吴景琅,《线性代数》,人民教育出版社,上海(1978).