| Issue |
ESAIM: M2AN
Volume 54, Number 1, January-February 2020
|
|
|---|---|---|
| Page(s) | 59 - 78 | |
| DOI | https://doi.org/10.1051/m2an/2019052 | |
| Published online | 14 January 2020 | |
Convergence analysis of a LDG method for tempered fractional convection–diffusion equations
Department of Mathematics, Faculty of Science, University of Qom, Isfahan Old Road, Qom, Iran
* Corresponding authour: m-ahmadinia@qom.ac.ir
Received:
13
March
2019
Accepted:
17
July
2019
This paper proposes a local discontinuous Galerkin method for tempered fractional convection–diffusion equations. The tempered fractional convection–diffusion is converted to a system of the first order of differential/integral equation, then, the local discontinuous Galerkin method is employed to solve the system. The stability and order of convergence of the method are proven. The order of convergence O(hk+1) depends on the choice of numerical fluxes. The provided numerical examples confirm the analysis of the numerical scheme.
Mathematics Subject Classification: 35R11 / 65M60 / 65M12
Key words: Local discontinuous method / tempered fractional derivative / stability / error estimates
© EDP Sciences, SMAI 2020
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