The lumped mass FEM for a time-fractional cable equation
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Publication:1651419
DOI10.1016/j.apnum.2018.05.012OpenAlexW2803156639MaRDI QIDQ1651419
Mariam Al-Maskari, Samir Karaa
Publication date: 12 July 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2018.05.012
Laplace transformerror estimatenonsmooth dataconvolution quadraturelumped mass FEMtime-fractional cable equation
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Cites Work
- Unnamed Item
- Unnamed Item
- Galerkin finite element method and error analysis for the fractional cable equation
- An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
- The discontinuous Galerkin finite element method for fractional cable equation
- Implicit compact difference schemes for the fractional cable equation
- Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
- An explicit numerical method for the fractional cable equation
- Numerical solution via Laplace transforms of a fractional order evolution equation
- Convolution quadrature and discretized operational calculus. I
- Optimal error analysis of a FEM for fractional diffusion problems by energy arguments
- Convolution quadrature revisited
- Time fractional diffusion: A discrete random walk approach
- Nonsmooth data error estimates for FEM approximations of the time fractional cable equation
- Finite difference/spectral approximations for the fractional cable equation
- Discretized Fractional Calculus
- Some error estimates for the lumped mass finite element method for a parabolic problem
- Convolution quadrature time discretization of fractional diffusion-wave equations
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- The lumped mass finite element method for a parabolic problem
- Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
- Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
- Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data
- Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation
- Some Error Estimates for the Finite Volume Element Method for a Parabolic Problem
- Galerkin Finite Element Methods for Parabolic Problems
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
