Spectral methods for the time-fractional Navier-Stokes equation

DOI10.1016/j.aml.2018.12.018zbMath1419.65085OpenAlexW2907120202WikidataQ128672610 ScholiaQ128672610MaRDI QIDQ1726655

Rumeng Zheng, Xiao-yun Jiang

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.12.018

zbMATH Keywords

stabilityconvergenceCaputo time fractional derivativeFourier spectral methodL1 finite difference methodtime-fractional Navier-Stokes equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (7)

Numerical analysis of fractional viscoelastic fluid problem solved by finite difference scheme ⋮ L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation ⋮ Global solutions to the non-local Navier-Stokes equations ⋮ Boundary layer flows of viscoelastic fluids over a non-uniform permeable surface ⋮ Well-posedness of mild solutions for the fractional Navier-Stokes equations in Besov spaces ⋮ Lattice BGK model for time-fractional incompressible Navier-Stokes equations ⋮ Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk

Cites Work

• Error estimates of mixed finite element methods for time-fractional Navier-Stokes equations
• On the generalized Navier-Stokes equations
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Numerical analysis of the space fractional Navier-Stokes equations
• Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
• Intermediate processes and critical phenomena: theory, method and progress of fractional operators and their applications to modern mechanics
• Analytical solution of time-fractional Navierâ Stokes equation in polar coordinate by homotopy perturbation method
• Finite Element Methods for Navier-Stokes Equations
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• On Shinbrot’s conjecture for the Navier-Stokes equations
• Analysis and Approximation of a Fractional Cahn--Hilliard Equation
• Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations

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