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A nonstandard finite difference scheme for contaminant transport with kinetic langmuir sorption
Author(s) -
Liu Liping,
Clemence Dominic P.,
Mickens Ronald E.
Publication year - 2011
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20551
Subject(s) - finite difference , finite difference method , langmuir , mathematics , sorption , partial differential equation , finite difference scheme , significant difference , kinetic energy , finite difference coefficient , finite element method , mathematical analysis , thermodynamics , physics , mixed finite element method , chemistry , classical mechanics , adsorption , statistics
This study focuses on a contaminant transport model with Langmuir sorption under nonequilibrium conditions. The numerical instabilities of the standard finite difference schemes including the upwind method are investigated. By using the nonstandard finite difference method, a better finite difference model is constructed. The numerical simulation on a specific system configuration proves the advantages of the new finite difference model. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 767–785, 2011