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Study on the Effect of Interpolation Methods on the Rapidity of Convergence of the Rate Model of Multi‐Component Non‐Linear Liquid Chromatography
Author(s) -
Liu Jiangchu,
Zhou Rongqi
Publication year - 2006
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450840508
Subject(s) - interpolation (computer graphics) , lagrange polynomial , convergence (economics) , rate of convergence , mathematics , linear interpolation , mathematical analysis , physics , computer science , polynomial , classical mechanics , key (lock) , computer security , motion (physics) , economics , economic growth
The convergence of the rate model of multi‐component non‐linear liquid chromatography is studied in detail. The key step of solving this model is to select the appropriate interpolation method, which determines the rapidity of convergence of the model. Two interpolation methods, the linear interpolation method and the three‐point Lagrange interpolation method, are compared in calculating the model. The results show that when the Lagrange interpolation is used the efficiency of calculation is elevated significantly. The calculation converges quickly at low finite element number.