A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation
DOI10.3934/dcdsb.2020319zbMath1476.65256arXiv2001.00169OpenAlexW3100049022MaRDI QIDQ2033963
Publication date: 18 June 2021
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.00169
Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for PDEs with pseudodifferential operators (35S10) Fractional partial differential equations (35R11)
Related Items
Cites Work
- Unnamed Item
- High order schemes for the tempered fractional diffusion equations
- Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations
- A second-order difference scheme for the time fractional substantial diffusion equation
- A fully-discrete local discontinuous Galerkin method for convection-dominated Sobolev equation
- High-order finite element methods for time-fractional partial differential equations
- Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations
- Notes on the homotopy analysis method: some definitions and theorems
- Compact finite difference method for the fractional diffusion equation
- Tempered stable Lévy motion and transient super-diffusion
- Tempering stable processes
- Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
- A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Finite difference approximations for fractional advection-dispersion flow equations
- Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems
- The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data
- A fully discrete difference scheme for a diffusion-wave system
- Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems
- A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative
- Finite element method for space-time fractional diffusion equation
- Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Generalized Jacobi functions and their applications to fractional differential equations
- A Chebyshev PseudoSpectral Method to Solve the Space-Time Tempered Fractional Diffusion Equation
- Analysis of a local discontinuous Galerkin method for time‐fractional advection‐diffusion equations
- Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Stochastic Process with Ultraslow Convergence to a Gaussian: The Truncated Lévy Flight
- Tempered fractional Langevin–Brownian motion with inverse β-stable subordinator
- Fractional differentiation matrices with applications
- Inhomogeneous Dirichlet Boundary-Value Problems of Space-Fractional Diffusion Equations and their Finite Element Approximations
- Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Variational formulation for the stationary fractional advection dispersion equation