A Fast Finite Volume Method on Locally Refined Meshes for Fractional Diffusion Equations

DOI10.4208/eajam.271118.280319zbMath1465.65086OpenAlexW2980043501MaRDI QIDQ4983624

Jinhong Jia, Hong Wang

Publication date: 26 April 2021

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.271118.280319

zbMATH Keywords

finite volume methodToeplitz matrixboundary layersspace-fractional diffusion equationcirculant matrixCaputo derivativeslocally refined mesh

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Toeplitz, Cauchy, and related matrices (15B05) Fractional partial differential equations (35R11) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Uses Software

• FODE

Cites Work

• Numerical simulation for conservative fractional diffusion equations by an expanded mixed formulation
• Generalized Jacobi functions and their applications to fractional differential equations
• Conjugate Gradient Methods for Toeplitz Systems
• A Eulerian–Lagrangian control volume method for solute transport with anomalous diffusion
• A Fast Finite Element Method for Space-Fractional Dispersion Equations on Bounded Domains in $\mathbb{R}^2$
• Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
• Local Discontinuous Galerkin methods for fractional diffusion equations