| Fokas’ Method for Heat Equation | Our Method for Heat Equation | ||
101 × 101 Grid | 501 × 501 Grid | 101 × 101 Grid | 501 × 501 Grid | |
| 0.52904 | 12.191 | 0.04947 | 0.60803 |
| 0.51714 | 12.796 | 0.05220 | 0.57233 |
| 0.54877 | 11.895 | 0.07941 | 0.46863 |
| 0.49711 | 11.974 | 0.05840 | 0.47097 |
| 0.49120 | 11.515 | 0.07217 | 0.46541 |
Average | 0.51665 | 12.074 | 0.06233 | 0.51707 |