Theory and Modern Applications
Table 2 Case I Comparison (\(V^{(3)}\)): 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 | 9.9341 × 10−12 | 9.9341 × 10−12 | 0.5 | 0.0 | 6.2082 × 10−9 | 6.2082 × 10−9 |
1.0 | 6.5476 × 10−12 | 6.5476 × 10−12 | 1.0 | 4.0547 × 10−9 | 4.0547 × 10−9 | ||
2.0 | 1.8840 × 10−13 | 1.8840 × 10−13 | 2.0 | 8.2357 × 10−11 | 8.2356 × 10−11 | ||
3.0 | 3.6721 × 10−12 | 3.6722 × 10−12 | 3.0 | 2.3069 × 10−9 | 2.3069 × 10−9 | ||