High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation

DOI10.3934/DCDSB.2020355zbMath1476.65163arXiv2006.04111OpenAlexW3107398245MaRDI QIDQ2033866

Maria Alessandra Ragusa, Sohrab Valizadeh, Abdollah Borhanifar

Publication date: 18 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04111

zbMATH Keywords

convergencealternating direction implicit methodCrank-Nicolson methodRiesz fractional derivativefractional centered difference

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)

Related Items (9)

On strong singular fractional version of the Sturm-Liouville equation ⋮ Existence and uniqueness of time periodic solutions for quantum versions of three-dimensional Schrödinger equations ⋮ Nonexistence and parameter range estimates for convolution differential equations ⋮ Nonlocal differential equations with (p,q)$ {(p,q)}$ growth ⋮ Convolution equations with variable time nonlocal coefficients ⋮ An application of Sobolev's inequality to one-dimensional Kirchhoff equations ⋮ Finite difference/spectral element method for one and two-dimensional Riesz space fractional advection-dispersion equations ⋮ Nonlocal differential equations with convex convolution coefficients ⋮ Solving 3D fractional Schrödinger systems on the basis of Phragmén-Lindelöf methods

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