Stability analysis and error estimates of implicit-explicit Runge-Kutta local discontinuous Galerkin methods for nonlinear fractional convection-diffusion problems

DOI10.1007/s40314-022-01954-8OpenAlexW4286586956MaRDI QIDQ2167396

Tarek Aboelenen

Publication date: 25 August 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-01954-8

zbMATH Keywords

stabilityenergy methoderror estimatefractional Laplacianlocal discontinuous Galerkin methodfractional convection-diffusion equationsimplicit-explicit Runge-Kutta time-marching scheme

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) 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) Fractional partial differential equations (35R11) Numerical analysis (65-XX)

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Unconditionally energy-stable discontinuous Galerkin method for the chemo-repulsion-Navier-Stokes system

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