Theory and Modern Applications
α | N | \(L_{\infty }\) error | Convergence order | \(L_{2}\) error | Convergence order |
---|---|---|---|---|---|
0.1 | 10 | 2.1115e−006 | 1.2466e−006 | ||
15 | 4.3256e−007 | 3.9102 | 2.7478e−007 | 3.7296 | |
20 | 1.5178e−007 | 3.6404 | 9.6187e−008 | 3.6487 | |
25 | 6.9421e−008 | 3.5056 | 4.3264e−008 | 3.5805 | |
30 | 3.7137e−008 | 3.4312 | 2.2759e−008 | 3.5232 | |
0.3 | 10 | 3.0749e−006 | 1.8339e−006 | ||
15 | 7.8116e−007 | 3.3794 | 4.5271e−007 | 3.4502 | |
20 | 3.0400e−007 | 3.2805 | 1.7241e−007 | 3.3557 | |
25 | 1.4903e−007 | 3.1947 | 8.2694e−008 | 3.2926 | |
30 | 8.3632e−008 | 3.1687 | 4.5743e−008 | 3.2476 | |
0.5 | 10 | 3.9579e−006 | 2.2779e−006 | ||
15 | 1.0377e−006 | 3.3017 | 5.8315e−007 | 3.3605 | |
20 | 4.1531e−007 | 3.1832 | 2.2726e−007 | 3.2757 | |
25 | 2.0547e−007 | 3.1537 | 1.1073e−007 | 3.2221 | |
30 | 1.1603e−007 | 3.1343 | 6.1945e−008 | 3.1858 | |
0.7 | 10 | 3.9742e−006 | 2.2877e−006 | ||
15 | 1.0361e−006 | 3.3156 | 5.8263e−007 | 3.3733 | |
20 | 4.1367e−007 | 3.1915 | 2.2639e−007 | 3.2859 | |
25 | 2.0419e−007 | 3.1640 | 1.1009e−007 | 3.2309 | |
30 | 1.1513e−007 | 3.1427 | 6.1505e−008 | 3.1931 | |
0.9 | 10 | 2.5073e−006 | 1.5564e−006 | ||
15 | 6.1239e−007 | 3.4765 | 3.6906e−007 | 3.5494 | |
20 | 2.3164e−007 | 3.3794 | 1.3617e−007 | 3.4658 | |
25 | 1.1082e−007 | 3.3040 | 6.3868e−008 | 3.3928 | |
30 | 6.1459e−008 | 3.2335 | 3.4746e−008 | 3.3389 |