Second-order error analysis of the averaged L1 scheme \(\overline{\text{L1}}\) for time-fractional initial-value and subdiffusion problems
DOI10.1007/S11425-022-2078-4zbMATH Open1544.65141MaRDI QIDQ6581926
Martin Stynes, Fanhai Zeng, Jin-ye Shen
Publication date: 1 August 2024
Published in: Science China. Mathematics (Search for Journal in Brave)
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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Cites Work
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
- Error estimates of a continuous Galerkin time stepping method for subdiffusion problem
- An averaged \(L 1\)-type compact difference method for time-fractional mobile/immobile diffusion equations with weakly singular solutions
- Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping
- On nonnegativity preservation in finite element methods for subdiffusion equations
- REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
- Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data
- Numerical Solution of Partial Differential Equations
- Blow-up of error estimates in time-fractional initial-boundary value problems
- Error Analysis for a Fractional-Derivative Parabolic Problem on Quasi-Graded Meshes using Barrier Functions
- An $L1$ Approximation for a Fractional Reaction-Diffusion Equation, a Second-Order Error Analysis over Time-Graded Meshes
- Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
- Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models
- A Survey of the L1 Scheme in the Discretisation of Time-Fractional Problems
Related Items (1)
This page was built for publication: Second-order error analysis of the averaged L1 scheme \(\overline{\text{L1}}\) for time-fractional initial-value and subdiffusion problems
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6581926)