2 papers
math.NA2025
A Divergence-free Preserving Mixed Finite Element Method for Thermally Driven Active Fluid Model
Nan Zheng, Qingguang Guan, Wenlong Pei +1
In this report, we propose a divergence-free preserving mixed finite element method (FEM) for the system of nonlinear fourth-order thermally driven active fluid equations. By intro…
math.NA2024
Hybrid PDE-Deep Neural Network Model for Calcium Dynamics in Neurons
Abel Gurung, Qingguang Guan
Traditionally, calcium dynamics in neurons are modeled using partial differential equations (PDEs) and ordinary differential equations (ODEs). The PDE component focuses on reaction…