Error estimates of high-order numerical methods for solving time fractional partial differential equations
From MaRDI portal
Publication:1711811
DOI10.1515/fca-2018-0039zbMath1405.65098OpenAlexW2883263827MaRDI QIDQ1711811
Publication date: 18 January 2019
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10034/621346
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Related Items (7)
Superconvergence of a finite element method for the time-fractional diffusion equation with a time-space dependent diffusivity ⋮ Two high-order time discretization schemes for subdiffusion problems with nonsmooth data ⋮ High-order algorithms for Riesz derivative and their applications. IV. ⋮ Higher order time stepping methods for subdiffusion problems based on weighted and shifted Grünwald-Letnikov formulae with nonsmooth data ⋮ A second-order finite difference scheme for nonlinear tempered fractional integrodifferential equations in three dimensions ⋮ Temporal discretization for Caputo-Hadamard fractional derivative with incomplete gamma function via Whittaker function ⋮ Error estimation of a discontinuous Galerkin method for time fractional subdiffusion problems with nonsmooth data
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- Finite difference methods for the time fractional diffusion equation on non-uniform meshes
- A multi-domain spectral method for time-fractional differential equations
- Time-stepping error bounds for fractional diffusion problems with non-smooth initial data
- A second order explicit finite difference method for the fractional advection diffusion equation
- Higher order numerical methods for solving fractional differential equations
- An algorithm for the numerical solution of two-sided space-fractional partial differential equations
- Error estimates of a high order numerical method for solving linear fractional differential equations
- Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations
- Higher order finite difference method for the reaction and anomalous-diffusion equation
- An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data
- High-order numerical methods for solving time fractional partial differential equations
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- A high-order spectral method for the multi-term time-fractional diffusion equations
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II
- Nonpolynomial collocation approximation of solutions to fractional differential equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Stability of a numerical method for a space-time-fractional telegraph equation
- Numerical analysis of a two-parameter fractional telegraph equation
- Weighted average finite difference methods for fractional diffusion equations
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Generalized Jacobi functions and their applications to fractional differential equations
- Error Analysis of a High Order Method for Time-Fractional Diffusion Equations
- A finite element method for time fractional partial differential equations
- Numerical Solutions of Fractional Differential Equations by Extrapolation
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III.
This page was built for publication: Error estimates of high-order numerical methods for solving time fractional partial differential equations
