A Cα finite difference method for the Caputo time‐fractional diffusion equation
From MaRDI portal
Publication:6087785
DOI10.1002/NUM.22686arXiv1811.12910OpenAlexW3109057661MaRDI QIDQ6087785
Ke Shi, Richard D. Noren, Wesley Davis
Publication date: 12 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.12910
Related Items (1)
Cites Work
- Unnamed Item
- Finite difference methods for the time fractional diffusion equation on non-uniform meshes
- Too much regularity may force too much uniqueness
- Erratum to: `The mean value theorems and a Nagumo-type uniqueness theorem for Caputo's fractional calculus
- Detailed error analysis for a fractional Adams method with graded meshes
- Detailed error analysis for a fractional Adams method
- Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Solving Ordinary Differential Equations I
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- A note on finite difference methods for nonlinear fractional differential equations with non-uniform meshes
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Monotonicity of Solutions of Volterra Integral Equations in Banach Space
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: A Cα finite difference method for the Caputo time‐fractional diffusion equation