Figure 3
A line graph titled Temperature Field Comparison at t equals 0.5. The x-axis represents the Spatial Coordinate (x) ranging from 0.0 to 1.0. The y-axis represents the Temperature T(x,t) ranging from 0.0 to 1.0. The graph includes four lines: a solid black line labeled Exact, a dashed blue line labeled Fixed PINN, a dash-dot orange line labeled GA-PINN, and a dotted green line labeled Adaptive PINN. All lines show a similar trend, peaking around the middle of the x-axis and then decreasing symmetrically.Comparison of predicted temperature distributions at for the fixed-weight PINN, GA-optimized PINN, and adaptive PINN formulations. The GA-based loss balancing preserves solution smoothness and predictive consistency across the spatial domain