Theory and Modern Applications
Table 2 Comparison of \(L_{\infty }\) error with [7] for Example 1
Time steps | r | h | x | (p,q,σ) \((30, -30 ,\frac{1}{12} )\) | (p,q,σ) \((75, -75 ,\frac{1}{12} )\) | [7] |
|---|---|---|---|---|---|---|
100 | 1 | 0.1 | 0.1 | 2.14(−6) | 7.22(−5) | 1.70(−3) |
0.2 | 4.99(−5) | 2.49(−5) | 5.00(−4) | |||
0.3 | 4.50(−5) | 2.88(−5) | 4.00(−4) | |||
0.4 | 8.42(−5) | 4.20(−5) | 7.00(−4) | |||
0.5 | 6.71(−5) | 4.00(−5) | 8.00(−4) | |||
0.6 | 9.30(−5) | 4.63(−5) | 9.00(−4) | |||
0.7 | 5.91(−5) | 3.62(−5) | 1.00(−3) | |||
0.8 | 6.73(−5) | 3.35(−5) | 1.10(−3) | |||
0.9 | 1.28(−5) | 1.35(−5) | 1.10(−3) |