Table 3 The results of \(\mathcal {E}_{\infty }\) error norms, the CPU time, and the corresponding \(\text{ ord}_R^{\infty }\) for \(\lambda =1\), \(m=0.5,1,2\), \(\gamma =2,\sigma =1\), and different K.
K | \(m=1\) | \(m=0.5\) | \(m=2\) | ||||
|---|---|---|---|---|---|---|---|
\(\mathcal {E}_{\infty }\) | \(\text{ ord}_K^{\infty }\) | CPU(s) | \(\mathcal {E}_{\infty }\) | \(\text{ ord}_K^{\infty }\) | \(\mathcal {E}_{\infty }\) | \(\text{ ord}_K^{\infty }\) | |
2 | \(6.0552\times 10^{-3}\) | − | 0.37765 | \(8.5582\times 10^{-3}\) | − | \(1.7392\times 10^{-3}\) | − |
4 | \(8.8287\times 10^{-5}\) | 6.0998 | 0.45875 | \(1.0514\times 10^{-4}\) | 6.3469 | \(1.9290\times 10^{-5}\) | 6.4945 |
8 | \(5.8803\times 10^{-9}\) | 13.874 | 0.63598 | \(4.9241\times 10^{-9}\) | 14.382 | \(7.3248\times 10^{-10}\) | 14.685 |
16 | \(1.9231\times 10^{-15}\) | 21.544 | 1.06565 | \(3.2476\times 10^{-15}\) | 20.532 | \(7.3347\times 10^{-16}\) | 19.930 |
