Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation
DOI10.1016/j.apm.2013.10.008zbMath1429.65233OpenAlexW2101461245MaRDI QIDQ1629855
Pinghui Zhuang, Ian W. Turner, Yuantong T. Gu, Fawang Liu
Publication date: 12 December 2018
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2013.10.008
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
- A numerical approach to the generalized nonlinear fractional Fokker-Planck equation
- Galerkin finite element approximation of symmetric space-fractional partial differential equations
- Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
- Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method
- Fractional diffusion equations by the Kansa method
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Numerical solution of the space fractional Fokker-Planck equation.
- Least squares finite-element solution of a fractional order two-point boundary value problem
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- Finite difference approximations for fractional advection-dispersion flow equations
- Fractional difference/finite element approximations for the time-space fractional telegraph equation
- Boundary particle method for Laplace transformed time fractional diffusion equations
- Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)
- Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
- Finite difference approximations for two-sided space-fractional partial differential equations
- Numerical simulation for the 3D seepage flow with fractional derivatives in porous media
- New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
- Variational formulation for the stationary fractional advection dispersion equation
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