Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

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

Lin, Jianguo, Xie, Zhihua 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.

Full text not available from this repository.

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: 04 Jun 2017 09:37
URI: http://orca.cf.ac.uk/id/eprint/97705

Citation Data

Cited 4 times in Google Scholar. View in Google Scholar

Cited 2 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item