Table 1 Computation of averaged squared residuals errors of velocity, temperature, and concentration solution.
Approximate Order (n) | \(\delta_{n}^{f}\) | \(\delta_{n}^{g}\) | \(\delta_{n}^{\theta }\) | \(\delta_{n}^{\phi }\) |
|---|---|---|---|---|
2 | \(0.00004268\) | \(6.9894 \times 10^{ - 6}\) | \(0.00001112\) | \(0.0024046\) |
4 | \(1.09621 \times 10^{ - 6}\) | \(6.79463 \times 10^{ - 7}\) | \(1.23295 \times 10^{ - 6}\) | \(0.0003176\) |
8 | \(6.94405 \times 10^{ - 10}\) | \(1.68247 \times 10^{ - 8}\) | \(1.71512 \times 10^{ - 8}\) | \(0.00003448\) |
12 | \(1.45543 \times 10^{ - 11}\) | \(8.02786 \times 10^{ - 10}\) | \(6.00118 \times 10^{ - 10}\) | \(6.61207 \times 10^{ - 6}\) |
16 | \(1.73202 \times 10^{ - 13}\) | \(2.49836 \times 10^{ - 11}\) | \(1.87111 \times 10^{ - 11}\) | \(1.60319 \times 10^{ - 7}\) |
20 | \(9.10536 \times 10^{ - 15}\) | \(1.01889 \times 10^{ - 12}\) | \(1.3158 \times 10^{ - 13}\) | \(4.48226 \times 10^{ - 7}\) |
