Numerical approximation for fractional neutron transport equation
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Publication:2034620
DOI10.1155/2021/6676640zbMath1477.82019OpenAlexW3138986244MaRDI QIDQ2034620
Publication date: 22 June 2021
Published in: Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/6676640
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Nuclear reactor theory; neutron transport (82D75) Fractional partial differential equations (35R11) Finite element, Galerkin and related methods applied to problems in statistical mechanics (82M10)
Uses Software
Cites Work
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- Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
- The discontinuous Galerkin finite element method for fractional cable equation
- A Galerkin finite element method for a class of time-space fractional differential equation with nonsmooth data
- Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Weighted essentially non-oscillatory schemes
- A finite volume method for two-sided fractional diffusion equations on non-uniform meshes
- An improved algorithm based on finite difference schemes for fractional boundary value problems with nonsmooth solution
- Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation
- Fractional-order modeling of neutron transport in a nuclear reactor
- Finite difference approximations for fractional advection-dispersion flow equations
- Efficient implementation of weighted ENO schemes
- High order finite difference WENO schemes for fractional differential equations
- The discontinuous Galerkin finite element approximation of the multi-order fractional initial problems
- Stability and convergence of a finite volume method for the space fractional advection-dispersion equation
- The time discontinuous space-time finite element method for fractional diffusion-wave equation
- The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: numerical analysis
- Some temporal second order difference schemes for fractional wave equations
- Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems
- Linear Instability of the Fifth-Order WENO Method
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- Stability Analysis of Finite Difference, Pseudospectral and Fourier–Galerkin Approximations for Time-Dependent Problems
- From Semidiscrete to Fully Discrete: Stability of Runge--Kutta Schemes by The Energy Method
- A Riesz Basis Galerkin Method for the Tempered Fractional Laplacian
- A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative
- A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
- A Spectral Penalty Method for Two-Sided Fractional Differential Equations with General Boundary Conditions
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
- Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
- Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations
- Variational formulation of problems involving fractional order differential operators
- A Galerkin finite element scheme for time–space fractional diffusion equation
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