Scientific computations with a wide range of applications in domains such as developing vaccines, forecasting the weather, predicting natural disasters, simulating aerodynamics of spacecraft, and ...

Python Implementation of Ordinary Differential Equations Solvers using Hybrid Physics-informed Neural Networks This repository is provided as a tutorial for the implementation of integration ...

Finite basis physics-informed neural networks (FBPINNs) This repository allows you to solve forward and inverse problems related to partial differential equations (PDEs) using finite basis ...

Additionally, the calculation efficiency of fully trained deep learning models is superior to that of the conventional finite difference method. Therefore, DL is a feasible and promising fast and ...

In this work, the Finite Difference Method (FDM) is adopted as the core numerical tool due to its robustness and effectiveness in solving such problems. A carefully designed finite difference scheme ...