2D Heat Conduction Simulation This Python script simulates the two-dimensional heat conduction on a square plate using the explicit finite difference method. It visualizes the temperature distribution ...

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 ...

Mainstream realizes that non-Fourier phenomena in heat transfer are arisen from the time delay in heat diffusion; however, in this paper we mathematically prove this realization an untruth. The ...