An averaged \(L 1\)-type compact difference method for time-fractional mobile/immobile diffusion equations with weakly singular solutions

DOI10.1016/j.aml.2022.108076OpenAlexW4220943094WikidataQ113880652 ScholiaQ113880652MaRDI QIDQ2135718

Yanyan Li

Publication date: 9 May 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108076

zbMATH Keywords

high-order convergencecompact difference methodaveraged \(L 1\) formulatime-fractional mobile/immobile diffusion equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Related Items (3)

Analyses of the contour integral method for time fractional normal-subdiffusion transport equation ⋮ Sharp error estimates for spatial-temporal finite difference approximations to fractional sub-diffusion equation without regularity assumption on the exact solution ⋮ Second-order error analysis for fractal mobile/immobile Allen-Cahn equation on graded meshes

Cites Work

• A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
• Numerical methods and analysis for a class of fractional advection-dispersion models
• A RBF meshless approach for modeling a fractal mobile/immobile transport model
• A compact finite difference method for solving a class of time fractional convection-subdiffusion equations
• A high-order compact finite difference method and its extrapolation for fractional mobile/immobile convection-diffusion equations
• Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
• Efficient compact finite difference methods for a class of time-fractional convection–reaction–diffusion equations with variable coefficients
• Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions
• An $L1$ Approximation for a Fractional Reaction-Diffusion Equation, a Second-Order Error Analysis over Time-Graded Meshes
• A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
• Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models

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