High‐order local discontinuous Galerkin method for a fractal mobile/immobile transport equation with the Caputo–Fabrizio fractional derivative

DOI10.1002/num.22366zbMath1416.82040OpenAlexW2922061474WikidataQ115397872 ScholiaQ115397872MaRDI QIDQ5224995

Yang Liu, Hong Li, Min Zhang

Publication date: 25 July 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22366

zbMATH Keywords

stabilitya priori error analysisCaputo-Fabrizio fractional derivativeLDG methodfractal mobile/immobile transport equation

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) Transport processes in time-dependent statistical mechanics (82C70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractals (28A80) Fractional partial differential equations (35R11)

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