Analytical solution of the advection – diffusion transport equation using a change-of-variable and integral transform technique

@inproceedings{Guerrero2009AnalyticalSO,
title={Analytical solution of the advection – diffusion transport equation using a change-of-variable and integral transform technique},
author={Jes{\'u}s Guerrero and L. C. G. Pimentel and Todd H. Skaggs and M. Th. van Genuchten},
year={2009}
}

This paper presents a formal exact solution of the linear advection–diffusion transport equation with constant coefficients for both transient and steady-state regimes. A classical mathematical substitution transforms the original advection–diffusion equation into an exclusively diffusive equation. The new diffusive problem is solved analytically using the classic version of Generalized Integral Transform Technique (GITT), resulting in an explicit formal solution. The new solution is shown to… CONTINUE READING

Handbook of Linear Partial Differential Equations for Engineers and Scientists

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Chapman & Hall/CRC Press, Boca Raton • 2002

View 1 Excerpt

Analytical modeling of nonaqueous phase liquid dissolution with Green’s functions, Transport in Porous Media

F. J. Leij, M.Th. van Genuchten

2000

View 1 Excerpt

van Genuchten

J. Simunek, M. Th

M. Sejna, N. Toride, F.J. Leij, The STANMOD computer software for evaluating solute transport in porous media using analytical solutions of convection–dispersion equation, Versions 1.0 and 2.0, IGWMC-TPS-71, International Ground Water Modeling Center, Colorado School of Mines, Golden, Colorado • 1999

Analytical Solutions for One

E. J. Wexler

Two-, and Three-Dimensional Solute Transport in Ground-Water Systems with Uniform Flow, U.S. Geological Survey Techniques of Water-Resources Investigations • 1992

View 1 Excerpt

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