An efficient class of discrete finite difference/element scheme for solving the fractional reaction subdiffusion equation

DOI10.1002/mma.9136OpenAlexW4322739064MaRDI QIDQ6143569

Mohamed M. Khader

Publication date: 5 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9136

zbMATH Keywords

stability analysiserror estimateFEMFDMfractional reaction subdiffusion equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

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• A new fully discrete finite difference/element approximation for fractional cable equation
• A second order explicit finite difference method for the fractional advection diffusion equation
• Galerkin finite element approximation of symmetric space-fractional partial differential equations
• Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
• Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations
• A note on the finite element method for the space-fractional advection diffusion equation
• Fractional difference/finite element approximations for the time-space fractional telegraph equation
• An \(H^1\)-Galerkin mixed finite element method for time fractional reaction-diffusion equation
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
• The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain
• Stability analysis for fractional‐order partial differential equations by means of space spectral time Adams‐Bashforth Moulton method
• Convection-Diffusion Problems
• Inhomogeneous Dirichlet Boundary-Value Problems of Space-Fractional Diffusion Equations and their Finite Element Approximations