NUMERICAL ANALYSIS OF AN IMPLICIT FULLY DISCRETE LOCAL DISCONTINUOUS GALERKIN METHOD FOR THE FRACTIONAL ZAKHAROV–KUZNETSOV EQUATION
2012 ◽
Vol 17
(4)
◽
pp. 558-570
◽
Keyword(s):
In this paper we develop and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Zakharov–Kuznetsov equation. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. We show that our scheme is unconditional stable and L 2 error estimate for the linear case with the convergence rate through analysis.
2015 ◽
Vol 7
(4)
◽
pp. 510-527
◽
2015 ◽
Vol 93
(10)
◽
pp. 1665-1682
◽
2006 ◽
Vol 195
(25-28)
◽
pp. 3430-3447
◽
2016 ◽
Vol 50
(4)
◽
pp. 1083-1105
◽
2016 ◽
Vol 68
(3)
◽
pp. 1029-1054
◽
2019 ◽
Vol 81
(3)
◽
pp. 2080-2114
◽
2020 ◽
Vol 401
◽
pp. 109002
◽