| tD | Van Everdigen and Hurst Exact Solution for (PD) | Homotopy Analysis Method (PD) | Absolute Error |
| 6000 | 4.754 | 4.632 | 0.122 |
| 8000 | 4.898 | 4.784 | 0.114 |
| 10,000 | 5.010 | 4.970 | 0.040 |
| 12,000 | 5.101 | 5.070 | 0.031 |
| 14,000 | 5.177 | 5.175 | 0.002 |
| 16,000 | 5.242 | 5.223 | 0.019 |
| 18,000 | 5.299 | 5.282 | 0.017 |
| 20,000 | 5.348 | 5.350 | 0.002 |
| 24,000 | 5.429 | 5.422 | 0.007 |
| 28,000 | 5.491 | 5.500 | 0.009 |
| 30,000 | 5.517 | 5.540 | 0.023 |
| 40,000 | 5.606 | 5.841 | 0.235 |
| 50,000 | 5.652 | 5.952 | 0.300 |