Two linear finite difference schemes based on exponential basis for two-dimensional time fractional Burgers equation
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Publication:6191523
DOI10.1016/j.physd.2023.134024OpenAlexW4389833574MaRDI QIDQ6191523
Publication date: 7 March 2024
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2023.134024
tailored finite point methodtime fractional Burgers equation\(\mathrm{L}1\) and \(\mathrm{L}1\)-2 discretization formulaslinear implicit finite difference scheme
PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
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- Numerical solution of time fractional Burgers equation by cubic B-spline finite elements
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- Uniform convergent tailored finite point method for advection-diffusion equation with discontinuous, anisotropic and vanishing diffusivity
- A tailored finite point method for a singular perturbation problem on an unbounded domain
- Fractional calculus for scientists and engineers.
- Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method
- Viscous flow solutions with a cubic spline approximation
- Fractional Burgers equation with nonlinear non-locality: spectral vanishing viscosity and local discontinuous Galerkin methods
- Solution of two-dimensional time-fractional Burgers equation with high and low Reynolds numbers
- A linear finite difference scheme for generalized time fractional Burgers equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- A semi-discrete tailored finite point method for a class of anisotropic diffusion problems
- A robust error analysis of the OSC method for a multi-term fourth-order sub-diffusion equation
- An efficient ADI difference scheme for the nonlocal evolution problem in three-dimensional space
- Numerical solutions of time‐fractional Burgers equations
- Fractional Fick's law: the direct way
- Tailored finite point method based on exponential bases for convection-diffusion-reaction equation
- Burgers equation with a fractional derivative; hereditary effects on nonlinear acoustic waves
- The fractional Fick's law for non-local transport processes
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- L1/LDG method for the generalized time-fractional Burgers equation in two spatial dimensions
- A space-time spectral order sinc-collocation method for the fourth-order nonlocal heat model arising in viscoelasticity
- An implicit robust numerical scheme with graded meshes for the modified Burgers model with nonlocal dynamic properties