The local discontinuous Galerkin method for convection-diffusion-fractional anti-diffusion equations

DOI10.1016/j.apnum.2019.09.001zbMath1447.65070OpenAlexW2971403987MaRDI QIDQ2010257

Nour El Houda Seloula, Afaf Bouharguane

Publication date: 27 November 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.09.001

zbMATH Keywords

stabilityconvergenceconvection-diffusionnumerical simulationslocal discontinuous Galerkin methodsfractional anti-diffusion

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

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Uses Software

• FODE

Cites Work

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