Theory and Modern Applications
α | N | \(L_{\infty }\) error | Convergence order | \(L_{2}\) error | Convergence order |
---|---|---|---|---|---|
0.1 | 10 | 1.2104e−009 | 6.1520e−010 | ||
15 | 3.2755e−010 | 3.2236 | 1.6621e−010 | 3.2276 | |
20 | 1.3151e−010 | 3.1721 | 6.6547e−011 | 3.1818 | |
25 | 6.5042e−011 | 3.1551 | 3.2911e−011 | 3.1554 | |
30 | 3.6739e−011 | 3.1329 | 1.8572e−011 | 3.1381 | |
0.3 | 10 | 7.4096e−009 | 3.7525e−009 | ||
15 | 2.0211e−009 | 3.2041 | 1.0218e−009 | 3.2083 | |
20 | 8.1469e−010 | 3.1583 | 4.1068e−010 | 3.1685 | |
25 | 4.0374e−010 | 3.1461 | 2.0351e−010 | 3.1464 | |
30 | 2.2832e−010 | 3.1265 | 1.1497e−010 | 3.1321 | |
0.5 | 10 | 1.8082e−008 | 9.1348e−009 | ||
15 | 4.9358e−009 | 3.2023 | 2.4893e−009 | 3.2064 | |
20 | 1.9989e−009 | 3.1421 | 1.0052e−009 | 3.1521 | |
25 | 9.9552e−010 | 3.1239 | 5.0063e−010 | 3.1239 | |
30 | 5.6561e−010 | 3.1009 | 2.8416e−010 | 3.1062 | |
0.7 | 10 | 3.0948e−008 | 1.5614e−008 | ||
15 | 8.3625e−009 | 3.2273 | 4.2128e−009 | 3.2310 | |
20 | 3.3879e−009 | 3.1408 | 1.7019e−009 | 3.1506 | |
25 | 1.6904e−009 | 3.1157 | 8.4920e−010 | 3.1155 | |
30 | 9.6241e−010 | 3.0895 | 4.8305e−010 | 3.0944 | |
0.9 | 10 | 1.6422e−008 | 8.2968e−009 | ||
15 | 7.0022e−009 | 2.1023 | 3.5255e−009 | 2.1108 | |
20 | 2.8117e−009 | 3.1717 | 1.4117e−009 | 3.1814 | |
25 | 1.3969e−009 | 3.1349 | 7.0140e−010 | 3.1346 | |
30 | 7.9379e−010 | 3.1000 | 3.9823e−010 | 3.1047 |