The finite difference/finite volume method for solving the fractional diffusion equation

DOI10.1016/j.jcp.2018.08.033zbMath1416.65301OpenAlexW2889335766MaRDI QIDQ2002233

Tie Zhang, Qingxin Guo

Publication date: 11 July 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.08.033

zbMATH Keywords

finite volume methodunconditional stabilityoptimal error estimatefractional parabolic equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (6)

A numerical scheme for the time-fractional diffusion equation by layer potentials ⋮ The finite volume element method for the two-dimensional space-fractional convection-diffusion equation ⋮ Solving generalized fractional problem on a funnel-shaped domain depicting viscoelastic fluid in porous medium ⋮ A high-order and extra-dof-free generalized finite element method for time-fractional diffusion equation ⋮ The \(H^1\)-error analysis of the finite element method for solving the fractional diffusion equation ⋮ A finite difference/finite volume method for solving the fractional diffusion wave equation

Uses Software

• FODE

Cites Work

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