Table 2 Convergence rates and stability analysis for Example 1.
\({\mathcal {M}}\) | \(L^\infty\) error | Convergence rate | \(L^2\) Error | Condition number | Stability factor |
---|---|---|---|---|---|
4 | \(5.1673 \times 10^{-2}\) | – | \(2.1000 \times 10^{-2}\) | \(4.1200 \times 10^2\) | 1.85 |
6 | \(3.0872 \times 10^{-2}\) | 0.81 | \(1.3000 \times 10^{-2}\) | \(7.5600 \times 10^3\) | 2.41 |
8 | \(1.0424 \times 10^{-2}\) | 1.23 | \(5.0000 \times 10^{-3}\) | \(2.1400 \times 10^4\) | 3.07 |