A high-order L2 type difference scheme for the time-fractional diffusion equation
From MaRDI portal
Publication:2246016
DOI10.1016/J.AMC.2021.126545OpenAlexW3193153957MaRDI QIDQ2246016
Anatoly A. Alikhanov, Cheng-Ming Huang
Publication date: 15 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.08813
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Functions of one variable (26Axx) Miscellaneous topics in partial differential equations (35Rxx)
Related Items (15)
A bilateral preconditioning for an L2-type all-at-once system from time-space non-local evolution equations with a weakly singular kernel ⋮ A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay ⋮ \({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation ⋮ Convergence and superconvergence analysis for nonlinear delay reaction–diffusion system with nonconforming finite element ⋮ Nonsymmetric interior penalty Galerkin method for nonlinear time-fractional integro-partial differential equations ⋮ A High-Order Difference Scheme for the Diffusion Equation of Multi-term and Distributed Orders ⋮ A second-order difference scheme for generalized time-fractional diffusion equation with smooth solutions ⋮ Two-grid \(H^1 \)-Galerkin mixed finite elements combined with \(L1\) scheme for nonlinear time fractional parabolic equations ⋮ The non-uniform L1-type scheme coupling the finite volume method for the time-space fractional diffusion equation with variable coefficients ⋮ Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay ⋮ Unconditionally convergent and superconvergent FEMs for nonlinear coupled time-fractional prey-predator problem ⋮ A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media ⋮ Local discontinuous Galerkin method combined with the \(L2\) formula for the time fractional cable model ⋮ L3 approximation of Caputo derivative and its application to time-fractional wave equation. I ⋮ Partially explicit time discretization for time fractional diffusion equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A new difference scheme for the time fractional diffusion equation
- A difference method for solving the Steklov nonlocal boundary value problem of second kind for the time-fractional diffusion equation
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- A priori estimates for solutions of boundary value problems for fractional-order equations
- A compact difference scheme for the fractional diffusion-wave equation
- A compact finite difference scheme for the fractional sub-diffusion equations
- Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation
- The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations
- A high-order \(L2\)-compact difference method for Caputo-type time-fractional sub-diffusion equations with variable coefficients
- Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations
- A time-fractional diffusion equation with generalized memory kernel in differential and difference settings with smooth solutions
- Boundary value problems for the diffusion equation of the variable order in differential and difference settings
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Error Analysis of a High Order Method for Time-Fractional Diffusion Equations
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Finite difference/spectral approximations for the fractional cable equation
- Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem for time-fractional diffusion equation
This page was built for publication: A high-order L2 type difference scheme for the time-fractional diffusion equation