Problem Statement: Solving the 2D heat equation: ∂T/∂t = α ( ∂²T/∂x² + ∂²T/∂y² ) on a rectangular domain with specified initial and boundary conditions. Methods Used PINNs: Neural networks are trained ...

Abstract This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...

pinn-2d-heat-equation Physics Informed Neural Network predicting temperature on a surface with Dirichlet boundary conditions. PINNs are neural networks trained not only on data but also to satisfy ...

Rajput, M.N., Shaikh, A.A. and Kamboh, S.A. (2020) Computational Analysis of the Stability of 2D Heat Equation on Elliptical Domain Using Finite Difference Method. Asian Research Journal of ...