Analysis of the L1 scheme for fractional wave equations with nonsmooth data
DOI10.1016/j.camwa.2021.03.006OpenAlexW3135981716MaRDI QIDQ2019592
Xiaoping Xie, Binjie Li, Tao Wang
Publication date: 21 April 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.09145
Numerical methods for integral equations (65R20) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A multi-domain spectral method for time-fractional differential equations
- Time-stepping error bounds for fractional diffusion problems with non-smooth initial data
- Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation
- A second-order accurate numerical method for a fractional wave equation
- An introduction to Sobolev spaces and interpolation spaces
- Convolution quadrature and discretized operational calculus. I
- Adaptive discretization of an integro-differential equation with a weakly singular convolution kernel.
- A time-spectral algorithm for fractional wave problems
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces
- Discretization with variable time steps of an evolution equation with a positive-type memory term
- Numerical analysis of two Galerkin discretizations with graded temporal grids for fractional evolution equations
- Analysis of a time-stepping discontinuous Galerkin method for fractional diffusion-wave equations with nonsmooth data
- Convergence analysis of a Petrov-Galerkin method for fractional wave problems with nonsmooth data
- Time-stepping discontinuous Galerkin methods for fractional diffusion problems
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Superconvergence of finite element approximations for the fractional diffusion-wave equation
- A fully discrete difference scheme for a diffusion-wave system
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Discontinuous Galerkin method for an evolution equation with a memory term of positive type
- Vector-valued Laplace Transforms and Cauchy Problems
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Numerical solution of an evolution equation with a positive-type memory term
- An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data
- Analysis of a Time-Stepping Scheme for Time Fractional Diffusion Problems with Nonsmooth Data
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- A Simple Mesh Generator in MATLAB
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
- Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations
- Variational formulation for the stationary fractional advection dispersion equation
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