Finite difference/spectral element method for one and two-dimensional Riesz space fractional advection-dispersion equations
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Publication:2060290
DOI10.1016/j.matcom.2021.10.020OpenAlexW3209094813MaRDI QIDQ2060290
Marziyeh Saffarian, Akbar Mohebbi
Publication date: 13 December 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2021.10.020
stabilityspectral element methoderror estimateadvection dispersion equationRiesz space fractional derivative
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Cites Work
- Unnamed Item
- Finite element method for two-dimensional space-fractional advection-dispersion equations
- New numerical methods for the Riesz space fractional partial differential equations
- Galerkin finite element approximation of symmetric space-fractional partial differential equations
- Spectral element method with geometric mesh for two-sided fractional differential equations
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
- Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method
- Numerical solution of the space fractional Fokker-Planck equation.
- Chaos, fractional kinetics, and anomalous transport
- Finite difference approximations for fractional advection-dispersion flow equations
- High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation
- A fast solver for spectral elements applied to fractional differential equations using hierarchical matrix approximation
- Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space distributed-order diffusion equation
- Stability and convergence of a finite volume method for the space fractional advection-dispersion equation
- Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation
- An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach
- A Petrov-Galerkin spectral element method for fractional elliptic problems
- Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis
- Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space fractional diffusion equation
- Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations
- Spectral Methods
- A Hybrid Spectral Element Method for Fractional Two-Point Boundary Value Problems
- Variational solution of fractional advection dispersion equations on bounded domains in ℝd
- Numerical solutions of the space-time fractional advection-dispersion equation
- The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- High-Order Methods for Incompressible Fluid Flow
- A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed‐order fractional damped diffusion‐wave equation
- Fractional kinetic equations: solutions and applications
- Variational formulation for the stationary fractional advection dispersion equation
- A novel numerical approximation for the space fractional advection-dispersion equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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