Research Article
Constructing and Predicting Solutions for Different Families of Partial Differential Equations: A Reliable Algorithm
Table 2
Comparison of exact and RPS solutions at various
in Test Problem 5.
| t | r | Exact solution | RPS solution | Absolute error |
| 0.001 | 0.1 | 0.5 | 0.5 | | 0.15 | 0.5 | 0.5 | | 0.2 | 0.5 | 0.5 | | 0.25 | 0.5 | 0.5 | | 0.3 | 0.5 | 0.5 | | 0.35 | 0.5 | 0.5 | | 0.4 | 0.5 | 0.5 | | 0.45 | 0.5 | 0.5 | | 0.5 | 0.5 | 0.5 | |
| 0.01 | 0.1 | 0.5 | 0.5 | | 0.15 | 0.5 | 0.5 | | 0.2 | 0.5 | 0.5 | | 0.25 | 0.5 | 0.5 | | 0.3 | 0.5 | 0.5 | | 0.35 | 0.5 | 0.5 | | 0.4 | 0.5 | 0.5 | | 0.45 | 0.5 | 0.5 | | 0.5 | 0.5 | 0.5 | |
| 0.1 | 0.1 | 0.5 | 0.5 | | 0.15 | 0.5 | 0.5 | | 0.2 | 0.5 | 0.5 | | 0.25 | 0.5 | 0.5 | | 0.3 | 0.5 | 0.5 | | 0.35 | 0.5 | 0.5 | | 0.4 | 0.5 | 0.5 | | 0.45 | 0.5 | 0.5 | | 0.5 | 0.5 | 0.5 | |
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