THE 3-LAYERED EXPLICIT DIFFERENCE SCHEME FOR 2-D HEAT EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (5): 605-613.

THE 3-LAYERED EXPLICIT DIFFERENCE SCHEME FOR 2-D HEAT EQUATION

刘继军

Department of Mathematics, Southeast University, Nanjing 210096, P.R.China

收稿日期:2000-01-10 修回日期:2002-12-15 出版日期:2003-05-18 发布日期:2003-05-18
基金资助:
the Science Foundation of Chinese Postdoctoral(2002031224); the Science Foundations of Southeast University(9209011148, 3007011043)

THE 3-LAYERED EXPLICIT DIFFERENCE SCHEME FOR 2-D HEAT EQUATION

LIU Ji-jun

Department of Mathematics, Southeast University, Nanjing 210096, P.R.China

Received:2000-01-10 Revised:2002-12-15 Online:2003-05-18 Published:2003-05-18
Supported by:
the Science Foundation of Chinese Postdoctoral(2002031224); the Science Foundations of Southeast University(9209011148, 3007011043)

摘要/Abstract

摘要： A 3-layered explicit difference scheme for the numerical solution of 2-D heat equation is proposed. Firstly, a general symmetric difference scheme is constructed and its optimal error is obtained. Then two kinds of condition for choosing the parameters for optimal error and stable difference scheme are given. Finally, some numerical results are presented to show the advantage of the schemes.

中图分类号:

O175.26

刘继军. THE 3-LAYERED EXPLICIT DIFFERENCE SCHEME FOR 2-D HEAT EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(5): 605-613.

LIU Ji-jun. THE 3-LAYERED EXPLICIT DIFFERENCE SCHEME FOR 2-D HEAT EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(5): 605-613.

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THE 3-LAYERED EXPLICIT DIFFERENCE SCHEME FOR 2-D HEAT EQUATION

THE 3-LAYERED EXPLICIT DIFFERENCE SCHEME FOR 2-D HEAT EQUATION

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