Theory and Modern Applications
α | N | \(L_{\infty }\) error | Convergence order | \(L_{2}\) error | Convergence order |
---|---|---|---|---|---|
0.1 | 10 | 1.0108e−010 | 5.1355e−011 | ||
15 | 1.9032e−011 | 4.1182 | 9.6538e−012 | 4.1222 | |
20 | 5.8315e−012 | 4.1116 | 2.9495e−012 | 4.1216 | |
25 | 2.3158e−012 | 4.1387 | 1.1712e−012 | 4.1391 | |
30 | 1.0943e−012 | 4.1116 | 5.5294e−013 | 4.1165 | |
0.3 | 10 | 6.2460e−010 | 3.1615e−010 | ||
15 | 1.1838e−010 | 4.1020 | 5.9811e−011 | 4.1065 | |
20 | 3.6337e−011 | 4.1054 | 1.8305e−011 | 4.1157 | |
25 | 1.4413e−011 | 4.1440 | 7.2600e−012 | 4.1444 | |
30 | 6.8278e−012 | 4.0979 | 3.4357e−012 | 4.1035 | |
0.5 | 10 | 1.5276e−009 | 7.7139e−010 | ||
15 | 2.9494e−010 | 4.0563 | 1.4869e−010 | 4.0604 | |
20 | 9.1714e−011 | 4.0604 | 4.6102e−011 | 4.0705 | |
25 | 3.6693e−011 | 4.1054 | 1.8444e−011 | 4.1055 | |
30 | 1.7524e−011 | 4.0534 | 8.8006e−012 | 4.0583 | |
0.7 | 10 | 2.5752e−009 | 1.2990e−009 | ||
15 | 5.0324e−010 | 4.0265 | 2.5347e−010 | 4.0302 | |
20 | 1.5761e−010 | 4.0355 | 7.9159e−011 | 4.0454 | |
25 | 6.3275e−011 | 4.0899 | 3.1783e−011 | 4.0894 | |
30 | 3.0340e−011 | 4.0315 | 1.5226e−011 | 4.0364 | |
0.9 | 10 | 2.1167e−009 | 1.0673e−009 | ||
15 | 4.1447e−010 | 4.0216 | 2.0867e−010 | 4.0253 | |
20 | 1.2990e−010 | 4.0330 | 6.5219e−011 | 4.0427 | |
25 | 5.2071e−011 | 4.0967 | 2.6146e−011 | 4.0963 | |
30 | 2.4980e−011 | 4.0288 | 1.2532e−011 | 4.0336 |