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math.NA2021
A preconditioner based on sine transform for two-dimensional Riesz space factional diffusion equations in convex domains
Xin Huang, Hai-Wei Sun
In this paper, we develop a fast numerical method for solving the time-dependent Riesz space fractional diffusion equations with a nonlinear source term in the convex domain. An im…
math.NA2021★ 2 cited
Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations
Xin Huang, Xue-Lei Lin, Michael K. Ng +1
In this paper, we analyze the spectra of the preconditioned matrices arising from discretized multi-dimensional Riesz spatial fractional diffusion equations. The finite difference…