A diffusion-convection problem with a fractional derivative along the trajectory of motion

DOI10.1515/RNAM-2021-0013zbMath1481.65138OpenAlexW3173991389MaRDI QIDQ1983518

A. V. Lapin, Vladimir Viktorovich Shaydurov

Publication date: 10 September 2021

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

Full work available at URL: https://doi.org/10.1515/rnam-2021-0013

zbMATH Keywords

stabilityfinite difference schemeaccuracydiffusion-convection equationfractional material derivativecharacteristic curve

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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (3)

A Fokker-Planck equation with a fractional derivative along the trajectory of motion with conservation law ⋮ Finite difference scheme for a non-linear subdiffusion problem with a fractional derivative along the trajectory of motion ⋮ A new model of the problem with a fractional derivative along the trajectory of motion

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