Research Article
Constructing and Predicting Solutions for Different Families of Partial Differential Equations: A Reliable Algorithm
Table 5
Comparison of exact and RPS solutions at various
in Test Problem 8.
| t | r | Exact solution | RPS solution | Absolute error |
| 0.01 | 0.1 | 0.762028 | 0.762028 | | 0.15 | 0.761815 | 0.761815 | | 0.2 | 0.761515 | 0.761515 | | 0.25 | 0.761131 | 0.761131 | | 0.3 | 0.760662 | 0.760662 | | 0.35 | 0.760108 | 0.760108 | | 0.4 | 0.75947 | 0.75947 | | 0.45 | 0.758748 | 0.758748 | | 0.5 | 0.757943 | 0.757943 | |
| 0.1 | 0.1 | 0.762035 | 0.762035 | | 0.15 | 0.761825 | 0.761825 | | 0.2 | 0.761529 | 0.761529 | | 0.25 | 0.761148 | 0.761148 | | 0.3 | 0.760682 | 0.760682 | | 0.35 | 0.760132 | 0.760132 | | 0.4 | 0.759497 | 0.759497 | | 0.45 | 00.758779 | 0.758779 | | 0.5 | 0.757978 | 0.757978 | |
| 0.2 | 0.1 | 0.762043 | 0.762043 | | 0.15 | 0.761836 | 0.761836 | | 0.2 | 0.761544 | 0.761544 | | 0.25 | 0.761167 | 0.761167 | | 0.3 | 0.760705 | 0.760705 | | 0.35 | 0.760158 | 0.760158 | | 0.4 | 0.759528 | 0.759528 | | 0.45 | 0.758813 | 0.758813 | | 0.5 | 0.758016 | 0.758016 | |
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