An \(\alpha \)-robust semidiscrete finite element method for a Fokker-Planck initial-boundary value problem with variable-order fractional time derivative

DOI10.1007/S10915-020-01375-XzbMath1473.65203OpenAlexW3118280074MaRDI QIDQ2027971

Martin Stynes, Kim Ngan Le

Publication date: 28 May 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-020-01375-x

zbMATH Keywords

Fokker-Planck equationvariable-order fractional derivative\( \alpha \)-robust

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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