Local one-dimensional scheme for the first initial-boundary value problem for the multidimensional fractional-order convection-diffusion equation

DOI10.1134/S0965542521070022zbMath1496.65102OpenAlexW3195959012MaRDI QIDQ2048786

Anatoly A. Alikhanov, M. Kh. Shkhanukov-Lafishev, Murat Kh. Beshtokov

Publication date: 24 August 2021

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

Full work available at URL: https://doi.org/10.1134/s0965542521070022

zbMATH Keywords

convection-diffusion equationpartial differential equationfractional-order derivativestability and convergence of difference schemesfractional time derivative in Caputo senselocally one-dimensional difference scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Fractional derivatives and integrals (26A33) Maximum principles in context of PDEs (35B50) 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) A priori estimates in context of PDEs (35B45) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)

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