Table 4 The results of \(\mathcal {E}_{\infty }\) error norms and the corresponding \(\text{ ord}_R^{\infty }\) for \(m,\lambda ,Bi=1\), \(A=2\), \(\gamma =2,\sigma =1\), and different K.
K | \(\lambda =5\) | \(Bi=5\) | \(A=0.25\) | |||
---|---|---|---|---|---|---|
\(\mathcal {E}_{\infty }\) | \(\text{ ord}_K^{\infty }\) | \(\mathcal {E}_{\infty }\) | \(\text{ ord}_K^{\infty }\) | \(\mathcal {E}_{\infty }\) | \(\text{ ord}_K^{\infty }\) | |
2 | \(7.8704\times 10^{-2}\) | − | \(7.1703\times 10^{-3}\) | − | \(1.1076\times 10^{-2}\) | − |
4 | \(4.0836\times 10^{-3}\) | 4.2685 | \(1.1312\times 10^{-4}\) | 5.9861 | \(2.8244\times 10^{-4}\) | 5.2933 |
8 | \(3.8235\times 10^{-6}\) | 10.061 | \(8.9189\times 10^{-9}\) | 13.631 | \(5.4736\times 10^{-8}\) | 12.333 |
16 | \(3.9429\times 10^{-13}\) | 23.209 | \(2.0829\times 10^{-15}\) | 22.030 | \(1.9878\times 10^{-16}\) | 28.037 |