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A fast linearized virtual element method on graded meshes for nonlinear time-fractional diffusion equations
Q Gu, Y Chen, J Zhou, J Huang - Numerical Algorithms, 2024 - Springer
In this paper, we develop a fast linearized virtual element method (VEM) for the
approximation of the nonlinear time-fractional diffusion equations on polygonal meshes. The …
approximation of the nonlinear time-fractional diffusion equations on polygonal meshes. The …
A corrected L1 method for a time-fractional subdiffusion equation
Z Yang, F Zeng - Journal of Scientific Computing, 2023 - Springer
Piecewise linear interpolation has been widely applied to discretize the Caputo fractional
derivative operator that yields the widely used L1 method. In this paper, a corrected L1 …
derivative operator that yields the widely used L1 method. In this paper, a corrected L1 …
Error estimate of the fast L1 method for time-fractional subdiffusion equations
This paper analyzes the convergence of the fast L1 method for the semi-linear time-factional
subdiffusion equations. The tool we use is the generalized discrete Gronwall inequality. We …
subdiffusion equations. The tool we use is the generalized discrete Gronwall inequality. We …
Enhanced parallel computation for time-fractional fluid dynamics: A fast time-step** method with Newton-Krylov-Schwarz solver
L ** discontinuous Galerkin method for the subdiffusion equation
H Zhang, F Zeng, X Jiang… - IMA Journal of Numerical …, 2024 - academic.oup.com
The nonlocality of the fractional operator causes numerical difficulties for long time
computation for time-fractional evolution equations. This paper develops a high-order fast …
computation for time-fractional evolution equations. This paper develops a high-order fast …
Double fast algorithm for solving time-space fractional diffusion problems with spectral fractional Laplacian
Y Yang, J Huang - Applied Mathematics and Computation, 2024 - Elsevier
This paper presents an efficient and concise double fast algorithm to solve high dimensional
time-space fractional diffusion problems with spectral fractional Laplacian. We first establish …
time-space fractional diffusion problems with spectral fractional Laplacian. We first establish …
[HTML][HTML] A Fast θ Scheme Combined with the Legendre Spectral Method for Solving a Fractional Klein–Gordon Equation
Y Li, Y Xu, Y Liu, Y Shen - Fractal and Fractional, 2023 - mdpi.com
In the current work, a fast θ scheme combined with the Legendre spectral method was
developed for solving a fractional Klein–Gordon equation (FKGE). The numerical scheme …
developed for solving a fractional Klein–Gordon equation (FKGE). The numerical scheme …