Efficient finite element numerical solution of the variable coefficient fractional subdiffusion equation

Abstract Based on the weighted and shifted Grünwald formula, a fully discrete finite element scheme is derived for the variable coefficient time-fractional subdiffusion equation. Firstly, the unconditional stable and convergent of the fully discrete scheme in L1(H1) $L^{1}(H^{1})$-norm is proved. Se...

Full description

Bibliographic Details
Main Authors: Lin He, Juncheng Lv
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2048-x