Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data
DOI10.1051/mmnp/2021007zbMath1473.65211OpenAlexW3121537167MaRDI QIDQ5001048
An Chen, Lijuan Nong, Jian-Xiong Cao
Publication date: 16 July 2021
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp/2021007
finite element methoderror estimateconvolution quadraturetwo-term time-fractional diffusion-wave equation
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
- An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
- Nonlinear two-term time fractional diffusion-wave problem
- Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate
- Convolution quadrature and discretized operational calculus. I
- Time-fractional telegraph equations and telegraph processes with Brownian time
- The unstructured mesh finite element method for the two-dimensional multi-term time-space fractional diffusion-wave equation on an irregular convex domain
- An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations
- An alternating direction Galerkin method for a time-fractional partial differential equation with damping in two space dimensions
- The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation
- New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function
- An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media
- System of fractional differential algebraic equations with applications
- A high-order spectral method for the multi-term time-fractional diffusion equations
- Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
- Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid
- Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density
- Fundamental solution of the multi-dimensional time fractional telegraph equation
- Influence of Hall current on the flows of a generalized Oldroyd-B fluid in a porous space
- Convolution quadrature time discretization of fractional diffusion-wave equations
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations
- Gauss‐Lobatto‐Legendre‐Birkhoff pseudospectral approximations for the multi‐term time fractional diffusion‐wave equation with Neumann boundaryconditions
- Numerical methods for fractional partial differential equations
- High-order Time Stepping Schemes for Semilinear Subdiffusion Equations
- Numerical Approximation of Semilinear Subdiffusion Equations with Nonsmooth Initial Data
- Fractional differentiation matrices with applications
- Galerkin Finite Element Methods for Parabolic Problems
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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