Table 6 Sequence of steps in PINN and TL-PINN algorithms.
Step # | PINN procedure |
|---|---|
Step 1 | Specify the computational domain |
Step 2 | Specify the system of ODEs |
Step 3 | Specify the training data, their distribution, and volume |
Step 4 | Construct a FFNN |
Step 5 | Define a model by combining the system of ODEs and the FFNN |
Step 6 | Set the optimization hyperparameters |
Step 7 | Train the network using specified initialization |
Step 8 | Predict the ODEs solution |
Step 9 | Save the model |
– | TL-PINN procedure |
|---|---|
Step 10 | Repeat steps 1–6 |
Step 11 | Restore model from Step 9 |
Step 12 | Train the network using restored model’s initialization |
Step 13 | Predict the ODEs solution |