A numerical study of the homogeneous elliptic equation with fractional boundary conditions

DOI10.1515/fca-2017-0018zbMath1364.65253arXiv1702.06477OpenAlexW2963869779MaRDI QIDQ2396329

Raytcho D. Lazarov, Petr N. Vabishchevich

Publication date: 8 June 2017

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.06477

zbMATH Keywords

fractional partial differential equationsultra-parabolic equationsfractional boundary conditionsnumerical methods for fractional powers of elliptic operators

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

Related Items (6)

High-order algorithms for Riesz derivative and their applications. IV. ⋮ Iterative low-rank approximation solvers for the extension method for fractional diffusion ⋮ Weighted estimates for boundary value problems with fractional derivatives ⋮ Error analysis of nonlinear time fractional mobile/immobile advection-diffusion equation with weakly singular solutions ⋮ Positive Approximations of the Inverse of Fractional Powers of SPD M-Matrices ⋮ A fractional PDE model for turbulent velocity fields near solid walls

Uses Software

• mftoolbox

Cites Work

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