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
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
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
Pointwise estimates of global small solutions to the generalized double dispersion equation
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DOI: 10.1016/j.jmaa.2016.11.030
Abstract: Abstract In this paper, we investigate the initial value problem for the generalized double dispersion equation in R n . Under suitable conditions, global classical solutions are proved for n ≥ 3 and n ≥… read more here.
Keywords: dispersion equation; pointwise estimates; estimates global; generalized double ... See more keywords
Asymptotic profiles of solutions to the generalized double dispersion equation with structural damping
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DOI: 10.1063/1.5138673
Abstract: In this paper, we study the Cauchy problem for the generalized double dispersion equation with structural damping. The equation behaves as the usual diffusion phenomenon over the low frequency domain, while it admits a feature… read more here.
Keywords: equation structural; structural damping; dispersion equation; double dispersion ... See more keywords
Local Solute Sinks and Sources Cause Erroneous Dispersion Fluxes in Transport Simulations with the Convection–Dispersion Equation
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DOI: 10.2136/vzj2019.06.0064
Abstract: The convection–dispersion equation (CDE) is the most widely used model for simulating the transport of dissolved substances in porous media. The dispersion term in the CDE lumps molecular diffusion and hydromechanical dispersion into an effective… read more here.
Keywords: convection dispersion; dispersion equation; water; solute ... See more keywords
Potential symmetry reduction of a convection-dispersion equation with spatial dependent water velocity
Sign Up to like & getrecommendations! Published in 2021 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2020.1806940
Abstract: Abstract We consider a class of a convection-dispersion equation describing the transport model of oil spilled in sea water with concentration-dependent dispersion and spatial velocity. A potential variable is introduced to the governing equation such… read more here.
Keywords: convection dispersion; dispersion equation; governing equation; dispersion ... See more keywords