Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929489160699904 |
|---|---|
| author | Kopteva, Natalia |
| author_facet | Kopteva, Natalia |
| contents | A semilinear initial-boundary value problem with a Caputo time derivative of fractional order $α\in(0,1)$ is considered, solutions of which typically exhibit a singular behaviour at an initial time. For an L2-type discretization of order $3-α$, we give sharp pointwise-in-time error bounds on graded temporal meshes with arbitrary degree of grading. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03420 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations Kopteva, Natalia Numerical Analysis A semilinear initial-boundary value problem with a Caputo time derivative of fractional order $α\in(0,1)$ is considered, solutions of which typically exhibit a singular behaviour at an initial time. For an L2-type discretization of order $3-α$, we give sharp pointwise-in-time error bounds on graded temporal meshes with arbitrary degree of grading. |
| title | Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2408.03420 |