An \(\alpha\)-robust and second-order accurate scheme for a subdiffusion equation
From MaRDI portal
Publication:6536832
DOI10.1007/S10915-024-02554-WMaRDI QIDQ6536832
William Mclean, Josef Dick, Kassem Mustapha
Publication date: 14 May 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Functions of one variable (26Axx) Miscellaneous topics in partial differential equations (35Rxx)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A new difference scheme for the time fractional diffusion equation
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- A second-order accurate numerical method for a fractional wave equation
- A note on fractional derivatives and fractional powers of operators
- On operators with bounded imaginary powers in Banach spaces
- Müntz spectral methods for the time-fractional diffusion equation
- Error estimates of a continuous Galerkin time stepping method for subdiffusion problem
- Well-posedness of time-fractional advection-diffusion-reaction equations
- Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping
- An efficient space-time method for time fractional diffusion equation
- The functional calculus for sectorial operators
- Two high-order time discretization schemes for subdiffusion problems with nonsmooth data
- A single-step correction scheme of Crank-Nicolson convolution quadrature for the subdiffusion equation
- Well-posedness of hp-version discontinuous Galerkin methods for fractional diffusion wave equations
- Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
- An analysis of the Crank–Nicolson method for subdiffusion
- Semidiscrete Finite Element Analysis of Time Fractional Parabolic Problems: A Unified Approach
- Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations
- FEM for time-fractional diffusion equations, novel optimal error analyses
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- A posteriori error analysis for approximations of time-fractional subdiffusion problems
- An $L1$ Approximation for a Fractional Reaction-Diffusion Equation, a Second-Order Error Analysis over Time-Graded Meshes
- Error Analysis for Time-Fractional Semilinear Parabolic Equations Using Upper and Lower Solutions
- Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem
- A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations
- A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations
- A Fast High Order Method for the Time-Fractional Diffusion Equation
- Numerical Approximation of Semilinear Subdiffusion Equations with Nonsmooth Initial Data
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- A Survey of the L1 Scheme in the Discretisation of Time-Fractional Problems
- Numerical Treatment and Analysis of Time-Fractional Evolution Equations
This page was built for publication: An \(\alpha\)-robust and second-order accurate scheme for a subdiffusion equation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6536832)