Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations
Numerical Analysis
2024-09-09 v2 Numerical Analysis
Abstract
A semilinear initial-boundary value problem with a Caputo time derivative of fractional order is considered, solutions of which typically exhibit a singular behaviour at an initial time. For an L2-type discretization of order , we give sharp pointwise-in-time error bounds on graded temporal meshes with arbitrary degree of grading.
Cite
@article{arxiv.2408.03420,
title = {Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations},
author = {Natalia Kopteva},
journal= {arXiv preprint arXiv:2408.03420},
year = {2024}
}