High-order compact scheme and its stability analysis for the pollutant diffusion equation

Lin, Jianguo, Xie, Zhihua ORCID: https://orcid.org/0000-0002-5180-8427 and Zhou, Juntao 2007. High-order compact scheme and its stability analysis for the pollutant diffusion equation. Chinese Journal of Computational Mechanics 26 , pp. 790-794.

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Abstract

An explicit numerical method which has arbitrary order of accuracy in time was derived in this paper,including the analysis of the stability and the accuracy of the pollutant diffusion equation.The conventional explicit Forward Time Central Space scheme(FTCS) is the specific form with first order accuracy of the proposed method.The theoretical analysis demonstrated that the stable region would expand along with the increase of the order of accuracy and the proposed explicit method was unconditionally stable when remaining the infinite order of accuracy.Finally,the validity of the proposed method was tested by a numerical example and it is shown that the numerical results agree quite well with the anterior theoretical analysis.And it also reveals the relationship between the stability and the accuracy,and provides the advisory principle for the development of the high-performance computational schemes.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Last Modified:	02 Nov 2022 10:11
URI:	https://orca.cardiff.ac.uk/id/eprint/97705

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