Overview of the Application of Physically Informed Neural Networks to the Problems of Nonlinear Fluid Flow in Porous Media

N Dieva, D Aminev, M Kravchenko, N Smirnov - Computation, 2024 - mdpi.com
To describe unsteady multiphase flows in porous media, it is important to consider the non-
Newtonian properties of fluids by including rheological laws in the hydrodynamic model …

Can ChatGPT be used for solving ordinary differential equations

N Koceska, S Koceski, LK Lazarova… - Balkan Journal of …, 2023 - js.ugd.edu.mk
In this research we have conducted empirical study to evaluate the capabilities of OpenAI's
chat bot ChatGPT for automated software code generation and programming numerical …

Forecasting of Sea Ice Concentration using CNN, PDE discovery and Bayesian Networks

J Borisova, R Titov, K Shakhkyan, A Hvatov - Procedia Computer Science, 2023 - Elsevier
Predicting the spatiotemporal data of natural processes is crucial for both academic
research and industrial applications. In particular, ice formation and melting processes play …

Towards true discovery of the differential equations

A Hvatov, R Titov - arXiv preprint arXiv:2308.04901, 2023 - arxiv.org
Differential equation discovery, a machine learning subfield, is used to develop interpretable
models, particularly in nature-related applications. By expertly incorporating the general …

Towards discovery of the differential equations

AA Hvatov, RV Titov - Doklady Mathematics, 2023 - Springer
Abstract Differential equation discovery, a machine learning subfield, is used to develop
interpretable models, particularly, in nature-related applications. By expertly incorporating …