Hong-Ying Huang

collaborators

2 papers

math.NA2024

Determining superconvergence points for $L 2 - 1_{σ}$ scheme of variable-exponent subdiffusion and error estimate

Hongying Huang, Huili Zhang, Xiangcheng Zheng

We develop a numerical scheme for subdiffusion of variable exponent by combining the $L 2 - 1_{σ}$ temporal discretization with finite element spatial approximation. In existing works,…

math.NA2022

Cell-average based neural network method for high dimensional parabolic differential equations

Hong Zhang, Hongying Huang, Jue Yan

In this paper, we introduce cell-average based neural network (CANN) method to solve high-dimensional parabolic partial differential equations. The method is based on the integral…

Determining superconvergence points for L2−1σ​ scheme of variable-exponent subdiffusion and error estimate

Cell-average based neural network method for high dimensional parabolic differential equations

Determining superconvergence points for $L 2 - 1_{σ}$ scheme of variable-exponent subdiffusion and error estimate