Error analysis of an \(\mathrm{L}2\)-type method on graded meshes for semilinear subdiffusion equations
DOI10.1016/j.aml.2024.109306MaRDI QIDQ6656473
Could not fetch data.
Publication date: 3 January 2025
Published in: Applied Mathematics Letters (Search for Journal in Brave)
subdiffusion equationsemilineargraded temporal meshpointwise-in-time error bounds\(\mathrm{L}2\) scheme
Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) 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)
Cites Work
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- A higher order numerical method for time fractional partial differential equations with nonsmooth data
- Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem
- Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation
- A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
- Error analysis of a high order method for time-fractional diffusion equations
- Numerical Analysis of Nonlinear Subdiffusion Equations
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Error Analysis for a Fractional-Derivative Parabolic Problem on Quasi-Graded Meshes using Barrier Functions
- 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 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
- Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
- \({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation
This page was built for publication: Error analysis of an \(\mathrm{L}2\)-type method on graded meshes for semilinear subdiffusion equations
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6656473)