2 citations · 3 across the 6 of their papers we have counts for
6 papers
FEM-PIKFNNs for underwater acoustic propagation induced by structural vibrations in different ocean environments
Qiang Xi, Zhuojia Fu, Wenzhi Xu +2
In this paper, a novel hybrid method based on the finite element method (FEM) and physics-informed kernel function neural networks (PIKFNNs) is proposed and applied to the predicti…
Simulating time-harmonic acoustic wave effects induced by periodic holes/inclusions on surfaces
Wen Hu, Zhuojia Fu, Leevan Ling
This paper introduces the first attempt to employ a localized meshless method to analyze time-harmonic acoustic wave propagation on curved surfaces with periodic holes/inclusions.…
Physics-Informed Kernel Function Neural Networks for Solving Partial Differential Equations
Zhuojia Fu, Wenzhi Xu, Shuainan Liu
This paper proposed a novel radial basis function neural network (RBFNN) to solve various partial differential equations (PDEs). In the proposed RBF neural networks, the physics-in…
Physics-informed Neural Networks for Elliptic Partial Differential Equations on 3D Manifolds
Zhuochao Tang, Zhuojia Fu
Motivated by recent research on Physics-Informed Neural Networks (PINNs), we make the first attempt to introduce the PINNs for numerical simulation of the elliptic Partial Differen…
A semi-analytical collocation method for solving multi-term variable-order time fractional partial differential equations
Xia Tian, S. Yu. Reutskiy, Zhuo-Jia Fu
This paper presents a novel semi-analytical collocation method to solve multi-term variable-order time fractional partial differential equations (VOTFPDEs). In the proposed method…
A scale-dependent finite difference method for time fractional derivative relaxation type equations
XiaoTing Liu, HongGuang Sun, Yong Zhang +1
Fractional derivative relaxation type equations (FREs) including fractional diffusion equation and fractional relaxation equation, have been widely used to describe anomalous pheno…