A nonuniform \(\mathrm{L}2-1_\sigma\)/LDG method for the Caputo-Hadamard time-fractional convection-diffusion equation
DOI10.32513/ASETMJ/193220082328zbMATH Open1539.65125MaRDI QIDQ6549904
Publication date: 4 June 2024
Published in: Advanced Studies: Euro-Tbilisi Mathematical Journal (Search for Journal in Brave)
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) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
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- High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation
- Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation
- The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian
- Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems
- A sharp \(\alpha\)-robust \(L^\infty (H^1)\) error bound for a time-fractional Allen-Cahn problem discretised by the Alikhanov \(L2-1_\sigma\) scheme and a standard FEM
- A second-order scheme with nonuniform time grids for Caputo-Hadamard fractional sub-diffusion equations
- Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation
- Local discontinuous Galerkin methods for the time tempered fractional diffusion equation
- Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- Blow-up of error estimates in time-fractional initial-boundary value problems
- A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem
- Numerical Methods for the Time Fractional Convection-Diffusion-Reaction Equation
- L1/LDG method for the generalized time-fractional Burgers equation in two spatial dimensions
- Finite difference schemes for time-space fractional diffusion equations in one- and two-dimensions
- Mathematical analysis of the Hadamard-type fractional Fokker-Planck equation
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