Locally one-dimensional difference scheme for a fractional tracer transport equation

DOI10.1134/S0965542517090044zbMath1379.65060OpenAlexW2758937874MaRDI QIDQ1687809

B. A. Ashabokov, Z. V. Beshtokova, M. Kh. Shkhanukov-Lafishev

Publication date: 4 January 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517090044

zbMATH Keywords

stabilityconvergencenumerical exampledifference schemeserror estimatefractional derivativelocally one-dimensional schemefractional tracer transport equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Fractional partial differential equations (35R11)

Related Items (3)

The Crank-Nicolson type compact difference schemes for a loaded time-fractional Hallaire equation ⋮ A numerical method for solving the third boundary value problem for the convection-diffusion equation with a fractional time derivative in a multidimensional domain ⋮ Local one-dimensional scheme for the first initial-boundary value problem for the multidimensional fractional-order convection-diffusion equation

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