Numerical treatment of the space fractional advection-dispersion model arising in groundwater hydrology

DOI10.1007/S40314-020-01410-5zbMath1461.65248OpenAlexW3125955214MaRDI QIDQ2027716

H. Mesgarani, Y. Esmaeelzade Aghdam, Jalil Rashidinia, Omid Nikan

Publication date: 28 May 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01410-5

zbMATH Keywords

error analysisChebyshev collocation methodcompact finite differencespace fractional advection-dispersion equation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Derivative securities (option pricing, hedging, etc.) (91G20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (4)

Nonlinear dynamics of the Burgers' equation and numerical experiments ⋮ Non-polynomial spectral-Galerkin method for time-fractional diffusion equation on unbounded domain ⋮ Application of the B-Spline Galerkin approach for approximating the time-fractional Burger's equation ⋮ Unnamed Item

Cites Work

• Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments
• Finite difference methods for fractional dispersion equations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Numerical solution of the space fractional Fokker-Planck equation.
• Introduction to fractional differential equations
• Thermal diffusion and diffusion thermo effects on unsteady MHD free convection flow over a stretching surface considering Joule heating and viscous dissipation with thermal stratification, chemical reaction and Hall current
• Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media
• Fourth kind shifted Chebyshev polynomials for solving space fractional order advection-dispersion equation based on collocation method and finite difference approximation
• Convergence analysis of the space fractional-order diffusion equation based on the compact finite difference scheme
• Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux
• On the properties of some operators under the perspective of fractional system theory
• Numerical analysis of time fractional Black-Scholes European option pricing model arising in financial market
• Boundary functions determination in an inverse time fractional heat conduction problem
• Numerical approach of fractional Abel differential equation by Genocchi polynomials
• Approximate solutions for the fractional advection-dispersion equation using Legendre pseudo-spectral method
• An adaptive collocation method for solving delay fractional differential equations
• Variational solution of fractional advection dispersion equations on bounded domains in ℝd
• Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation

This page was built for publication: Numerical treatment of the space fractional advection-dispersion model arising in groundwater hydrology