It provides a visual comparison of accuracy, convergence, and error between the three approaches. Problem Statement: Solving the 2D heat equation: ∂T/∂t = α ...

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 ...

1 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. 2 Department of Mathematics, Comilla University, Cumilla, Bangladesh. 3 School of Computer Science and Technology, ...

Problem: Equation: ∂T∂t=α(∂2T∂x2+∂2T∂y2) Domain: 1x1 plate, hotspot at center BCs: Fixed edges, insulated edges Goal: Predict T(x,y,t)T(x,y,t)T(x,y,t) continuously Training: 2000 epochs, loss ...