Numerical solution of the time-fractional Navier-Stokes equations for incompressible flow in a lid-driven cavity
DOI10.1007/s40314-021-01413-wzbMath1476.35151OpenAlexW3127683350MaRDI QIDQ1983846
Karim Ivaz, Ayub Abedini, Abdolrahman Dadvand, Sedaghat Shahmorad
Publication date: 10 September 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01413-w
method of linesincompressible flowCaputo-type fractional derivativetime-fractional Navier-Stokes equations
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Overdetermined systems of PDEs with variable coefficients (35N10) Method of lines for boundary value problems involving PDEs (65N40)
Cites Work
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- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Computational algorithms for computing the fractional derivatives of functions
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A spectral framework for fractional variational problems based on fractional Jacobi functions
- A review of definitions for fractional derivatives and integral
- An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid
- Optimal variable-order fractional PID controllers for dynamical systems
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- On the generalized Navier-Stokes equations
- A numerical approach for solving a class of variable-order fractional functional integral equations
- A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
- A computationally efficient method for tempered fractional differential equations with application
- On multistep methods for differential equations of fractional order
- Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
- Discretized Fractional Calculus
- Method of Lines for Transient Flow Fields
- Analytical solution of time-fractional Navierâ Stokes equation in polar coordinate by homotopy perturbation method
- The fundamental solution of the space-time fractional diffusion equation
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