A Second Order Time Accurate Finite Volume Scheme for the Time-Fractional Diffusion Wave Equation on General Nonconforming Meshes

DOI10.1007/978-3-030-41032-2_10OpenAlexW3006628981MaRDI QIDQ3297694

Fayssal Benkhaldoun, Abdallah Bradji

Publication date: 20 July 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-41032-2_10

zbMATH Keywords

finite volumesystemunconditional convergencesecond order time accuratetime fractional diffusion wave equation

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Related Items (2)

Convergence analysis of a finite volume scheme for a distributed order diffusion equation ⋮ SUSHI for a non-linear time fractional diffusion equation with a time independent delay

Cites Work

• A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
• A new difference scheme for the time fractional diffusion equation
• An analysis of a second-order time accurate scheme for a finite volume method for parabolic equations on general nonconforming multidimensional spatial meshes
• Notes on the convergence order of gradient schemes for time fractional differential equations
• A fully discrete difference scheme for a diffusion-wave system
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
• Some Convergence Results of a Multi-dimensional Finite Volume Scheme for a Time-Fractional Diffusion-Wave Equation

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