18 citations · 21 across the 6 of their papers we have counts for
6 papers
Local convergence analysis of L1/finite element scheme for a constant delay reaction-subdiffusion equation with uniform time mesh
Weiping Bu, Xin Zheng
The aim of this paper is to develop a refined error estimate of L1/finite element scheme for a reaction-subdiffusion equation with constant delay and uniform time mesh. Under t…
Stochastic fractional integro-differential equations with weakly singular kernels: Well-posedness and Euler--Maruyama approximation
Xinjie Dai, Aiguo Xiao, Weiping Bu
This paper considers the initial value problem of general nonlinear stochastic fractional integro-differential equations with weakly singular kernels. Our effort is devoted to esta…
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…
Uniform convergence of multigrid finite element method for time-dependent Riesz tempered fractional problem
Minghua Chen, Weiping Bu, Wenya Qi +1
In this article a theoretical framework for the Galerkin finite element approximation to the time-dependent Riesz tempered fractional problem is provided without the fractional reg…
Time-space Finite Element Adaptive AMG for Multi-term Time Fractional Advection Diffusion Equations
Xiaoqiang Yue, Yehong Xu, Shi Shu +2
In this study we construct a time-space finite element (FE) scheme and furnish cost-efficient approximations for one-dimensional multi-term time fractional advection diffusion equa…
Fully Finite Element Adaptive Algebraic Multigrid Method for Time-Space Caputo-Riesz Fractional Diffusion Equations
Xiaoqiang Yue, Weiping Bu, Shi Shu +2
The paper aims to establish a fully discrete finite element (FE) scheme and provide cost-effective solutions for one-dimensional time-space Caputo-Riesz fractional diffusion equati…