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• W2949828574 abstract "We propose a discontinuous Galerkin method for convection-subdiffusion equations with a fractional operator of order $alpha (1<alpha<2)$ defined through the fractional Laplacian. The fractional operator of order $alpha$ is expressed as a composite of first order derivatives and fractional integrals of order $2-alpha$, and the fractional convection-diffusion problem is expressed as a system of low order differential/integral equations and a local discontinuous Galerkin method scheme is derived for the equations. We prove stability and optimal order of convergence O($h^{k+1}$) for subdiffusion, and an order of convergence of ${cal O}(h^{k+1/2})$ is established for the general fractional convection-diffusion problem. The analysis is confirmed by numerical examples." @default.
• W2949828574 created "2019-06-27" @default.
• W2949828574 creator A5037681511 @default.
• W2949828574 creator A5073481994 @default.
• W2949828574 date "2013-04-22" @default.
• W2949828574 modified "2023-10-16" @default.
• W2949828574 title "Discontinuous Galerkin method for fractional convection-diffusion equations" @default.
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• W2949828574 doi "https://doi.org/10.48550/arxiv.1304.6047" @default.
• W2949828574 hasPublicationYear "2013" @default.
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