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Stability and convergence of a fully discrete local discontinuous Galerkin method for multi-term time fractional diffusion equations.

Authors :
Wei, Leilei
Source :
Numerical Algorithms; Nov2017, Vol. 76 Issue 3, p695-707, 13p
Publication Year :
2017

Abstract

In this paper, a fully discrete local discontinuous Galerkin method for a class of multi-term time fractional diffusion equations is proposed and analyzed. Using local discontinuous Galerkin method in spatial direction and classical L1 approximation in temporal direction, a fully discrete scheme is established. By choosing the numerical flux carefully, we prove that the method is unconditionally stable and convergent with order O( h + (Δ t)), where k, h, and Δ t are the degree of piecewise polynomial, the space, and time step sizes, respectively. Numerical examples are carried out to illustrate the effectiveness of the numerical scheme. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10171398
Volume :
76
Issue :
3
Database :
Complementary Index
Journal :
Numerical Algorithms
Publication Type :
Academic Journal
Accession number :
125840953
Full Text :
https://doi.org/10.1007/s11075-017-0277-1