A nonstandard finite difference scheme for contaminant transport with kinetic langmuir sorption |
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| Authors: | Liping Liu Dominic P. Clemence Ronald E. Mickens |
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| Affiliation: | 1. Department of Mathematics, North Carolina Agricultural and Technical State University, Greensboro, North Carolina 27411;2. Department of Physics, Clark Atlanta University, Atlanta, Georgia 30314 |
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| 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. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 767–785, 2011 |
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| Keywords: | contaminant transport model finite difference schemes nonstandard finite difference scheme numerical instability |
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