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On the stability of the difference scheme in the self-memorization model

Dong Wen-Jie Chou Ji-Fan Feng Guo-Lin Li Jian-Ping

On the stability of the difference scheme in the self-memorization model

Dong Wen-Jie, Chou Ji-Fan, Feng Guo-Lin, Li Jian-Ping
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  • Received Date:  13 August 2003
  • Accepted Date:  10 November 2003
  • Published Online:  15 July 2004

On the stability of the difference scheme in the self-memorization model

  • 1. (1)国家气候中心,北京 100081; (2)兰州大学大气科学系,兰州 730000; (3)扬州大学物理科学与技术学院,扬州 225009;中国科学院大气物理研究所,北京 100029; (4)中国科学院大气物理研究所,北京 100029

Abstract: In light of irreversibility of atmospheric motion, the memory function obtained by utilizing the previous information fully obtained from the observational data is introduced. The selfmemorization equation of the heat conduction equation is induced, and the stability and characteristics of which are studied, taking respectively Richardson scheme (RS) and DuFort-Frankel scheme (DS) as the retrospective order p=1. The calculation results indicate that the numerical integral is diffused sometimes in the multi-time model, due to the fact that the memory function is determined by the observational data via the special mathematics arithmetic, which makes the difference scheme designed previously change, and is a smooth time factor in itself.

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