A high-order spectral method for the multi-term time-fractional diffusion equations
DOI10.1016/j.apm.2015.12.011zbMath1459.65205OpenAlexW2215263022MaRDI QIDQ2290780
Fawang Liu, V. V. Anh, Ian W. Turner, Min-Ling Zheng
Publication date: 29 January 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2015.12.011
Caputo fractional derivativeRiemann-Liouville derivativemulti-term time-fractional diffusion equationspace-time spectral method
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
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- Galerkin finite element approximation of symmetric space-fractional partial differential equations
- Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
- Fourierization of the Legendre-Galerkin method and a new space-time spectral method
- Boundary value problems for multi-term fractional differential equations
- The thermorheologically complex material
- Least squares finite-element solution of a fractional order two-point boundary value problem
- Variable order and distributed order fractional operators
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations
- Distributed-order fractional diffusions on bounded domains
- Numerical method for solving diffusion-wave phenomena
- Computing nearly singular solutions using pseudo-spectral methods
- Fractional diffusion and wave equations
- A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Spectral Viscosity Approximations to Multidimensional Scalar Conservation Laws
- Mechanics with variable-order differential operators
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
- Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- Spectral Methods
- Variational formulation for the stationary fractional advection dispersion equation
- Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains
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