3 papers
cs.LG2026
Modeling Unknown Nonlocal PDE Systems via Flow Map Learning
Zhongshu Xu, Ying Li, Yanzhi Zhang +1
Nonlocal partial differential equations arise in many applications but are often difficult to model and learn because of the presence of nonlocal operators. We present a flow-map l…
cs.LG2023
HNS: An Efficient Hermite Neural Solver for Solving Time-Fractional Partial Differential Equations
Jie Hou, Zhiying Ma, Shihui Ying +1
Neural network solvers represent an innovative and promising approach for tackling time-fractional partial differential equations by utilizing deep learning techniques. L1 interpol…
cs.LG2023
PMNN:Physical Model-driven Neural Network for solving time-fractional differential equations
Zhiying Ma, Jie Hou, Wenhao Zhu +2
In this paper, an innovative Physical Model-driven Neural Network (PMNN) method is proposed to solve time-fractional differential equations. It establishes a temporal iteration sch…