Table 2 Numerical outcome to example 1.
x | y | t | Exact | GIRPSM | ||
|---|---|---|---|---|---|---|
α = 0.75 | α = 0.9 | α = 1 | ||||
0.1 | 0.1 | 0.1 | 5.399 \(*{10}^{-5}\) | 5.359 \(*{10}^{-5}\) | 5.373 \(*{10}^{-5}\) | 5.381 \(*{10}^{-5}\) |
0.25 | 5.391 \(*{10}^{-5}\) | 5.314 \(*{10}^{-5}\) | 5.334 \(*{10}^{-5}\) | 5.345 \(*{10}^{-5}\) | ||
0.5 | 5.377 \(*{10}^{-5}\) | 5.254 \(*{10}^{-5}\) | 5.274 \(*{10}^{-5}\) | 5.287 \(*{10}^{-5}\) | ||
0.75 | 5.363 \(*{10}^{-5}\) | 5.202 \(*{10}^{-5}\) | 5.218 \(*{10}^{-5}\) | 5.230 \(*{10}^{-5}\) | ||
1 | 5.350 \(*{10}^{-5}\) | 5.154 \(*{10}^{-5}\) | 5.164 \(*{10}^{-5}\) | 5.173 \(*{10}^{-5}\) | ||
0.5 | 0.5 | 0.1 | 0.001840 | 0.001827 | 0.0018321 | 0.001834 |
0.25 | 0.001840 | 0.001815 | 0.0018206 | 0.001823 | ||
0.5 | 0.001839 | 0.001798 | 0.0018037 | 0.001807 | ||
0.75 | 0.001837 | 0.001784 | 0.0017885 | 0.001791 | ||
1 | 0.001836 | 0.001771 | 0.0017742 | 0.001776 | ||
1 | 1 | 0.1 | 0.017535 | 0.016873 | 0.0170776 | 0.017176 |
0.25 | 0.017529 | 0.016028 | 0.0165129 | 0.016692 | ||
0.5 | 0.017520 | 0.013501 | 0.0150977 | 0.015657 | ||
0.75 | 0.017511 | 0.008914 | 0.0123300 | 0.013710 | ||
1 | 0.017502 | 0.001843 | 0.0075050 | 0.010127 | ||
