38 citations · 49 across the 4 of their papers we have counts for
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Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations
Huan-Yan Jian, Ting-Zhu Huang, Xian-Ming Gu +2
In this paper, fast numerical methods are established for solving a class of time distributed-order and Riesz space fractional diffusion-wave equations. We derive new difference sc…
An implicit integration factor method for a kind of spatial fractional diffusion equations
Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu +2
A kind of spatial fractional diffusion equations in this paper are studied. Firstly, an L1 formula is employed for the spatial discretization of the equations. Then, a second order…
A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation
Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu +2
An all-at-once linear system arising from the nonlinear tempered fractional diffusion equation with variable coefficients is studied. Firstly, the nonlinear and linearized implicit…
A fast second-order accurate difference schemes for time distributed-order and Riesz space fractional diffusion equations
Huan-Yan Jian, Ting-Zhu Huang, Xi-Le Zhao +1
The aim of this paper is to develop fast second-order accurate difference schemes for solving one- and two-dimensional time distributed-order and Riesz space fractional diffusion e…