NUMERICAL SOLVING UNSTEADY SPACE-FRACTIONAL PROBLEMS WITH THE SQUARE ROOT OF AN ELLIPTIC OPERATOR

DOI10.3846/13926292.2016.1147000zbMath1499.65438arXiv1510.08297OpenAlexW2963501302WikidataQ57694499 ScholiaQ57694499MaRDI QIDQ5011616

Petr N. Vabishchevich

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08297

zbMATH Keywords

convection-diffusion problemelliptic operatorfractional partial differential equationstwo-level difference schemesquare root of an operatorregularized scheme

Mathematics Subject Classification ID

Diffusion (76R50) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (4)

On rational Krylov and reduced basis methods for fractional diffusion ⋮ Exponential convergence of \textit{hp} FEM for spectral fractional diffusion in polygons ⋮ A unified view of some numerical methods for fractional diffusion ⋮ Numerical solution of time-dependent problems with fractional power elliptic operator

Uses Software

• mftoolbox

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