Sharp pointwise-in-time error estimate of L1 scheme for nonlinear subdiffusion equations
DOI10.4208/JCM.2205-M2021-0316MaRDI QIDQ6616996
Jiwei Zhang, Hongyu Qin, Dongfang Li
Publication date: 9 October 2024
Published in: Journal of Computational Mathematics (Search for Journal in Brave)
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) Fractional partial differential equations (35R11)
Cites Work
- Time-stepping error bounds for fractional diffusion problems with non-smooth initial data
- Convolution quadrature and discretized operational calculus. I
- Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem
- Time fractional diffusion: A discrete random walk approach
- Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
- Regularity theory for time-fractional advection-diffusion-reaction equations
- Sharp error estimate of a Grünwald-Letnikov scheme for reaction-subdiffusion equations
- Well-posedness of time-fractional advection-diffusion-reaction equations
- A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
- Numerical analysis of linear and nonlinear time-fractional subdiffusion equations
- Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction
- Time-stepping discontinuous Galerkin methods for fractional diffusion problems
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Implicit-explicit difference schemes for nonlinear fractional differential equations with nonsmooth solutions
- An analysis of galerkin proper orthogonal decomposition for subdiffusion
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
- Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations
- Numerical Analysis of Nonlinear Subdiffusion Equations
- An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data
- 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
- Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
- 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
- Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
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