48 citations · 173 across the 16 of their papers we have counts for
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A three-level linearized difference scheme for the coupled nonlinear fractional Ginzburg-Landau equation
Dongdong He, Kejia Pan
In this paper, the coupled fractional Ginzburg-Landau equations are first time investigated numerically. A linearized implicit finite difference scheme is proposed. The scheme invo…
A spatial sixth-order CCD-TVD method for solving multidimensional coupled Burgers' equation
Kejia Pan, Xiaoxin Wu, Xiaoqiang Yue +1
In this paper, an efficient and high-order accuracy finite difference method is proposed for solving multidimensional nonlinear Burgers' equation. The third-order three stage Runge…
Parallel-in-Time with Fully Finite Element Multigrid for 2-D Space-fractional Diffusion Equations
Xiaoqiang Yue, Shi Shu, Xiaowen Xu +2
The paper investigates a non-intrusive parallel time integration with multigrid for space-fractional diffusion equations in two spatial dimensions. We firstly obtain a fully discre…
A fourth-order maximum principle preserving operator splitting scheme for three-dimensional fractional Allen-Cahn equations
Dongdong He, Kejia Pan, Hongling Hu
In this paper, by using Strang's second-order splitting method, the numerical procedure for the three-dimensional (3D) space fractional Allen-Cahn equation can be divided into thre…