@Article{IJNAM-9-247,
author = {M. Cui and Y. Deng},
title = {Numerical Solutions for Nonequilibrium Solute Transport with First-Order Decay and Zero-Order Production},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2012},
volume = {9},
number = {2},
pages = {247--256},
abstract = {<p style="text-align: justify;">Solute transport in the subsurface is often considered to be a nonequilibrium process.
Nonequilibrium during transport of solutes in porous medium has been categorized as either
transport-related or sorption-related. For steady state flow in a homogeneous soil and assuming a
linear sorption process, we will consider advection-diffusion adsorption equations. In this paper,
numerical methods are considered for the mathematical model for steady state flow in a homogeneous
soil with a linear sorption process. The modified upwind finite difference method is adopted
to approximate the concentration in mobile regions and immobile regions. Optimal order $l^2$-error
estimate is derived. Numerical results are supplied to justify the theoretical work.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/624.html}
}