Volume 55, pp. 568-584, 2022.
Analysis of stability and convergence for L-type formulas combined with a spatial finite element method for solving subdiffusion problems
Mohadese Ramezani, Reza Mokhtari, and Gundolf Haase
Abstract
A time-fractional diffusion equation with the Caputo fractional derivative of order
Full Text (PDF) [2.2 MB], BibTeX , DOI: 10.1553/etna_vol55s568
Key words
subdiffusion equation, finite element method, Caputo derivative, L1 formula, L1-2 formula, L1-2-3 formula, Grönwall's inequality, stability analysis, convergence analysis
AMS subject classifications
65M12, 65M60
Links to the cited ETNA articles
[4] | Vol. 54 (2021), pp. 150-175 Shervan Erfani, Esmail Babolian, and Shahnam Javadi: New fractional pseudospectral methods with accurate convergence rates for fractional differential equations |