Numerical solution of variable fractional order advection‐dispersion equation using Bernoulli wavelet method and new operational matrix of fractional order derivative
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6164
Abstract: In this article, the Bernoulli wavelet method is used to solve the space‐time variable fractional order advection‐dispersion equation. The equation contains Coimbra time fractional derivatives with variable order of γ1(x) as well as the Riemann‐Liouville… read more here.
Keywords: advection dispersion; order; dispersion equation; fractional order ... See more keywords
New Semi-Analytical Solutions for Advection–Dispersion Equations in Multilayer Porous Media
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DOI: 10.1007/s11242-020-01468-z
Abstract: A new semi-analytical solution to the advection–dispersion–reaction equation for modelling solute transport in layered porous media is derived using the Laplace transform. Our solution approach involves introducing unknown functions representing the dispersive flux at the… read more here.
Keywords: porous media; semi analytical; solution; advection dispersion ... See more keywords
A numerical method for a time-fractional advection–dispersion equation with a nonlinear source term
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-019-01266-x
Abstract: In this paper we propose an implicit finite-difference scheme to approximate the solution of an initial-boundary value problem for a time-fractional advection–dispersion equation with variable coefficients and a nonlinear source term. The time fractional derivative… read more here.
Keywords: time; advection dispersion; fractional advection; dispersion equation ... See more keywords
Numerical treatment of the space fractional advection–dispersion model arising in groundwater hydrology
Sign Up to like & getrecommendations! Published in 2021 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-020-01410-5
Abstract: This paper studies a new computational method for the approximate solution of the space fractional advection–dispersion equation in sense of Caputo derivatives. In the first method, a time discretization is accomplished via the compact finite… read more here.
Keywords: space fractional; advection dispersion; hydrology; fractional advection ... See more keywords
An Improved Method for Nonlinear Variable-Order Lévy–Feller Advection–Dispersion Equation
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-018-0644-7
Abstract: In this paper, numerical investigations of the variable-order fractional Lévy–Feller advection–dispersion equation with a nonlinear source term are presented. A family of time stepping schemes is proposed to solve this equation with space performed by… read more here.
Keywords: equation; dispersion equation; feller advection; variable order ... See more keywords
Modelling solute transport in homogeneous and heterogeneous porous media using spatial fractional advection-dispersion equation
Sign Up to like & getrecommendations! Published in 2017 at "Soil and Water Research"
DOI: 10.17221/245/2016-swr
Abstract: This paper compared the abilities of advection-dispersion equation (ADE) and spatial fractional advectiondispersion equation (sFADE) to describe the migration of a non-reactive contaminant in homogeneous and heterogeneous soils. To this end, laboratory tests were conducted… read more here.
Keywords: solute transport; transport; dispersion; soil ... See more keywords
Comparative Analysis of Advection-Dispersion Equations with Atangana-Baleanu Fractional Derivative
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DOI: 10.3390/sym15040819
Abstract: In this study, we solve the fractional advection–dispersion equation (FADE) by applying the Laplace transform decomposition method (LTDM) and the variational iteration transform method (VITM). The Atangana–Baleanu (AB) sense is used to describe the fractional… read more here.
Keywords: fractional derivative; atangana baleanu; advection dispersion; method ... See more keywords
Advection–Dispersion Behavior for Simulation of H-3 and Pu-238 Transport in Undisturbed Argillaceous Shale of a Near-Surface Repository
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DOI: 10.3390/toxics11020124
Abstract: In this study, a column experiment was employed to evaluate the nuclide migration behavior in the surrounding rock medium of a near-surface disposal site in China and to investigate the advection–dispersion behavior of tritium (H-3)… read more here.
Keywords: advection dispersion; argillaceous shale; behavior; near surface ... See more keywords