Theory and Modern Applications
α | N | \(L_{\infty }\) error | Convergence order | \(L_{2}\) error | Convergence order |
---|---|---|---|---|---|
0.1 | 10 | 2.1200e−006 | 1.0669e−006 | ||
15 | 4.0685e−007 | 4.0712 | 1.9871e−007 | 4.1450 | |
20 | 1.2876e−007 | 3.9992 | 6.1910e−008 | 4.0537 | |
25 | 5.3905e−008 | 3.9021 | 2.5661e−008 | 3.9468 | |
30 | 2.6096e−008 | 3.9789 | 1.2343e−008 | 4.0142 | |
0.3 | 10 | 2.1275e−006 | 1.1076e−006 | ||
15 | 4.0785e−007 | 4.0738 | 2.0682e−007 | 4.1387 | |
20 | 1.2899e−007 | 4.0015 | 6.4476e−008 | 4.0515 | |
25 | 5.3983e−008 | 3.9036 | 2.6705e−008 | 3.9501 | |
30 | 2.6127e−008 | 3.9803 | 1.2846e−008 | 4.0139 | |
0.5 | 10 | 2.1313e−006 | 1.1321e−006 | ||
15 | 4.0836e−007 | 4.0752 | 2.1173e−007 | 4.1348 | |
20 | 1.2912e−007 | 4.0024 | 6.6027e−008 | 4.0505 | |
25 | 5.4022e−008 | 3.9049 | 2.7330e−008 | 3.9530 | |
30 | 2.6143e−008 | 3.9809 | 1.3146e−008 | 4.0142 | |
0.7 | 10 | 2.1275e−006 | 1.1196e−006 | ||
15 | 4.0786e−007 | 4.0738 | 2.0930e−007 | 4.1359 | |
20 | 1.2900e−007 | 4.0013 | 6.5256e−008 | 4.0512 | |
25 | 5.3981e−008 | 3.9041 | 2.7007e−008 | 3.9536 | |
30 | 2.6126e−008 | 3.9803 | 1.2990e−008 | 4.0144 | |
0.9 | 10 | 2.1120e−006 | 1.0507e−006 | ||
15 | 4.0582e−007 | 4.0681 | 1.9577e−007 | 4.1441 | |
20 | 1.2851e−007 | 3.9971 | 6.0987e−008 | 4.0541 | |
25 | 5.3822e−008 | 3.9003 | 2.5265e−008 | 3.9492 | |
30 | 2.6062e−008 | 3.9776 | 1.2151e−008 | 4.0149 |