Theory and Modern Applications
Table 1 Case I Comparison (\(U^{(3)}\)): RPSM, q-HAM with the exact solution
t | x | Absolute error (λ = 0.5) | t | x | Absolute error (λ = 0.5) | ||
|---|---|---|---|---|---|---|---|
RPSM | q-HAM | RPSM | q-HAM | ||||
0.1 | 0.0 | 7.9472 × 10−12 | 7.9473 × 10−12 | 0.5 | 0.0 | 4.9663 × 10−9 | 4.9664 × 10−9 |
1.0 | 4.2957 × 10−12 | 4.2958 × 10−12 | 1.0 | 2.6458 × 10−9 | 2.6459 × 10−9 | ||
2.0 | 1.6338 × 10−12 | 1.6338 × 10−12 | 2.0 | 1.0489 × 10−9 | 1.0489 × 10−9 | ||
3.0 | 3.8170 × 10−12 | 3.8171 × 10−12 | 3.0 | 2.3859 × 10−9 | 2.3860 × 10−9 | ||