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

Liping Liu; Dominic P. Clemence; Ronald E. Mickens

doi:10.1002/num.20551

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

Liping Liu, Dominic P. Clemence, Ronald E. Mickens

Mathematics and Statistics

Clark Atlanta University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	767-785
Number of pages	19
Journal	Numerical Methods for Partial Differential Equations
Volume	27
Issue number	4
DOIs	https://doi.org/10.1002/num.20551
State	Published - Jul 2011

Keywords

contaminant transport model
finite difference schemes
nonstandard finite difference scheme
numerical instability

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10.1002/num.20551

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title = "A nonstandard finite difference scheme for contaminant transport with kinetic langmuir sorption",

abstract = "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.",

keywords = "contaminant transport model, finite difference schemes, nonstandard finite difference scheme, numerical instability",

author = "Liping Liu and Clemence, \{Dominic P.\} and Mickens, \{Ronald E.\}",

year = "2011",

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AU - Clemence, Dominic P.

AU - Mickens, Ronald E.

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N2 - 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.

AB - 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.

KW - contaminant transport model

KW - finite difference schemes

KW - nonstandard finite difference scheme

KW - numerical instability

UR - https://www.scopus.com/pages/publications/79954487892

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DO - 10.1002/num.20551

M3 - Article

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SP - 767

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JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 4

ER -

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

Abstract

Keywords

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