23 citations · 56 across the 8 of their papers we have counts for
5 papers · 1 filter
Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions
Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun
In this paper, we develop a robust fast method for mobile-immobile variable-order (VO) time-fractional diffusion equations (tFDEs), superiorly handling the cases of small or vanish…
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…
Fast second-order evaluation for variable-order Caputo fractional derivative with applications to fractional sub-diffusion equations
Jia-li Zhang, Zhi-wei Fang, Hai-wei Sun
In this paper, we propose a fast second-order approximation to the variable-order (VO) Caputo fractional derivative, which is developed based on - formula and the exponent…
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…
Exponential-sum-approximation technique for variable-order time-fractional diffusion equations
Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun
In this paper, we study the variable-order (VO) time-fractional diffusion equations. For a VO function , we develop an exponential-sum-approximation (ESA) technique t…