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

By J. S. Pérez Guerrero, L. Pimentel, Todd H. Skaggs, M. T. V. Genuchten. 2009

155 citations recorded by the source corpus.

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Citations in the corpus

Generalized analytical solution for advection-dispersion equation in finite spatial domain with arbitrary time-dependent inlet boundary condition (2011, methodology): “Prior to applying general Published by Copernicus Publications on behalf of the European Geosciences Union. integral transform technique Pérez Guerrero et al. (2009a) suggested that a change-of-variable is carried out to homogenize the inhomogeneous boundary condition using a filter function becaus”
Analytical solution for one-dimensional advection-dispersion transport equation with distance-dependent coefficients (2010, methodology): “Transport equations not immediately analytically solvable with the CITT can often be transformed into an amenable form using techniques such as algebraic substitution or integrating factor methods (e.g. Pérez Guerrero et al., 2009a,b, 2010).”
Analytical Solution for Multi-Species Contaminant Transport Subject to Sequential First-Order Decay Reactions in Finite Media (2009, methodology): “10 from an advection-diffusion equation into a diffusion equation using the following algebraic substitution (Ozisik 1980; Pérez Guerrero et al. 2009) The initial and boundary condition for the unknown function θ j (x, t) are, respectively: Note that both boundary conditions (Eq.”
Analytical solutions to one-dimensional advection–diffusion equation with variable coefficients in semi-infinite media (2010, background): “Guerrero et al. (2009) presented a formal exact solution of the linear advection–diffusion equation with constant coefficients for both transient and steady-state regimes by generalized integral Laplace transform technique.”