Numerical analysis of linear and nonlinear time-fractional subdiffusion equations
Numerical Analysis
2024-12-20 v1 Numerical Analysis
Abstract
In this paper, a new type of the discrete fractional Gr{\"o}nwall inequality is developed, which is applied to analyze the stability and convergence of a Galerkin spectral method for a linear time-fractional subdiffusion equation. Based on the temporal-spatial error splitting argument technique, the discrete fractional Gr{\"o}nwall inequality is also applied to prove the unconditional convergence of a semi-implicit Galerkin spectral method for a nonlinear time-fractional subdiffusion equation.
Cite
@article{arxiv.1901.06814,
title = {Numerical analysis of linear and nonlinear time-fractional subdiffusion equations},
author = {Yubo Yang and Fanhai Zeng},
journal= {arXiv preprint arXiv:1901.06814},
year = {2024}
}
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16 pages