Splitting methods for the nonlocal Fowler equation

DOI10.1090/S0025-5718-2013-02757-3zbMath1286.65109arXiv1109.3275OpenAlexW1996013602MaRDI QIDQ5401694

Afaf Bouharguane, Rémi Carles

Publication date: 12 March 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3275

zbMATH Keywords

stabilityconvergenceerror analysisoperator splittingnumerical time integrationnonlocal operatorFowler equationsplit-step Fourier methodStrang splittingLie splitting methodspace-fractional partial differential equationdune

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Geological problems (86A60) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86)

Related Items (6)

Finite element method for a space-fractional anti-diffusive equation ⋮ A direct discontinuous Galerkin method for a high order nonlocal conservation law ⋮ Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case ⋮ A splitting method for the augmented Burgers equation ⋮ The local discontinuous Galerkin method for convection-diffusion-fractional anti-diffusion equations ⋮ Numerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag-Leffler kernel by finite difference and local discontinuous Galerkin methods

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