A novel error analysis of spectral method for the anomalous subdiffusion problems with multi-term time-fractional derivative
From MaRDI portal
Publication:6067775
DOI10.1007/s10255-023-1091-2OpenAlexW4388502354MaRDI QIDQ6067775
Yanping Chen, Bin Xie, Xiuxiu Lin, Bo Tang
Publication date: 17 November 2023
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-023-1091-2
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations
- Fractional Sturm-Liouville problem
- Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
- Special issue on ``Fractional PDEs: theory, numerics, and applications
- A PDE approach to fractional diffusion: a posteriori error analysis
- 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
- Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Monotone iterative method for two-point fractional boundary value problems
- Variable order and distributed order fractional operators
- Time fractional diffusion: A discrete random walk approach
- A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
- Fractional-order advection-dispersion problem solution via the spectral collocation method and the non-standard finite difference technique
- A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions
- Quasilinearization technique for solving nonlinear Riemann-Liouville fractional-order problems
- Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations
- A high-order spectral method for the multi-term time-fractional diffusion equations
- A posteriori error estimation for a singularly perturbed Volterra integro-differential equation
- A posteriori error estimates of \(hp\) spectral element methods for optimal control problems with \(L^2\)-norm state constraint
- Finite difference/spectral approximations for the time-fractional diffusion equation
- \textit{A posteriori} error estimates for the fractional optimal control problems
- Generalized Jacobi functions and their applications to fractional differential equations
- Spectral Methods
- Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Mechanics with variable-order differential operators
- A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative
- Analysis of Spectral Projectors in One-Dimensional Domains
- Space‐time finite element adaptive AMG for multi‐term time fractional advection diffusion equations
- Theory of Fractional Differential Equations Using Inequalities and Comparison Theorems: A Survey
- 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
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
