Local discontinuous Galerkin method for multi-term variable-order time fractional diffusion equation
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Publication:2079367
DOI10.1016/j.matcom.2022.07.017OpenAlexW4286511200WikidataQ113869118 ScholiaQ113869118MaRDI QIDQ2079367
Publication date: 29 September 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2022.07.017
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Cites Work
- Numerical algorithm with high spatial accuracy for the fractional diffusion-wave equation with von Neumann boundary conditions
- Numerical techniques for the variable-order time fractional diffusion equation
- Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations
- A fractional porous medium equation
- Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations
- High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
- Stability and convergence of a fully discrete local discontinuous Galerkin method for multi-term time fractional diffusion equations
- A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation
- 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
- Fractional integration and differentiation of variable order
- The discontinuous Galerkin finite element method for Caputo-type nonlinear conservation law
- A compact finite difference scheme for variable order subdiffusion equation
- A meshless method in reproducing kernel space for solving variable-order time fractional advection-diffusion equations on arbitrary domain
- Variable-order fractional calculus: a change of perspective
- Optimal order finite difference/local discontinuous Galerkin method for variable-order time-fractional diffusion equation
- A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation
- On an accurate discretization of a variable-order fractional reaction-diffusion equation
- Numerical solutions of variable order time fractional \((1+1)\)- and \((1+2)\)-dimensional advection dispersion and diffusion models
- A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: numerical analysis
- 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
- An iterative method for the design of variable fractional-order FIR differintegrators
- Numerical identification of the fractional derivatives in the two-dimensional fractional cable equation
- Local discontinuous Galerkin approximations to variable-order time-fractional diffusion model based on the Caputo-Fabrizio fractional derivative
- Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- Application of fractional calculus methods to viscoelastic behaviours of solid propellants
- Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
- A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
- Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations
