Fig. 1

Schematic diagram of a concave porous fin (color online)"

Fig. 2

Complete graph with four vertices (color online)"

Fig. 3

Absolute error graph for different values of N (color online)"

Fig. 4

Systematic visualization of the PINN architecture for the thermal equations of the concave porous fin"

Fig. 5

Effects of the convection-conduction parameter on the thermal profiles of the concave and rectangular fins' fluid phases (color online)"

Fig. 6

Effects of the convection-conduction parameter on the thermal profiles of the concave and rectangular fins' solid phase (color online)"

Fig. 7

Effects of the radiation-conduction parameter on the thermal profiles of the concave and rectangular fins' fluid phase (color online)"

Fig. 8

Effects of the radiation-conduction parameter on the thermal profile of the concave and rectangular fins' solid phase (color online)"

Fig. 9

Effects of RD on the thermal profiles of the concave and rectangular fins' fluid phase (color online)"

Fig. 10

Effects of RD on the thermal profiles of the concave and rectangular fins' solid phase (color online)"

Table 1

Comparison of various network architectures with different parameter combinations"

Fig. 11

Loss evaluations of the trained architecture for (a) the fluid phase and (b) the solid phase with different layers (color online)"

Table 2

Validation of the PINN solution with the CPM solution for Θs"

Table 3

Validation of the PINN solution with the CPM solution for Θf"

Table 4

Numerical results of –Θs'(0) obtained by the CPM for various parameters"

Table 5

Numerical results of –Θf'(0) obtained by the CPM for various parameters"