A nonstandard finite difference scheme for contaminant transport with kinetic langmuir sorption

A nonstandard finite difference scheme for contaminant transport with kinetic langmuir sorption

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 differenc...

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Veröffentlicht in:Numerical methods for partial differential equations 2011-07, Vol.27 (4), p.767-785
Hauptverfasser: Liu, Liping, Clemence, Dominic P., Mickens, Ronald E.
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Sprache:eng
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contaminant transport model
finite difference schemes
nonstandard finite difference scheme
numerical instability
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container_title Numerical methods for partial differential equations
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creator Liu, Liping
Clemence, Dominic P.
Mickens, Ronald E.
description 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
doi_str_mv 10.1002/num.20551
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subjects contaminant transport model
finite difference schemes
nonstandard finite difference scheme
numerical instability
title A nonstandard finite difference scheme for contaminant transport with kinetic langmuir sorption
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